A number when divided by 30 gives 42 as quotient and 22 as remainder what is the number

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Do long division with decimal numbers and see the work for the calculation step-by-step. Enter positive or negative decimal numbers for divisor and dividend and calculate a quotient answer.

How to Do Long Division with Decimals

1. If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.
2. Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
3. Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.

Calculate Decimal Places for a Quotient Answer

How far do you want to calculate the decimal places for the answer? Here are some examples:

• 31 divided by 16 = 1.937500 calculating to 6 decimal places
• 31 divided by 16 = 1.937 calculating to 3 decimal places
• 22 divided by 15 = 1.466666666 calculating 9 decimal places
• 22 divided by 15 = 1.466666 calculating 6 decimal places
• 22 divided by 15 = 1.466 calculating to 3 decimal places

Note that this is not the same as rounding to a specific number of decimal places. For example, 22 divided by 15 = 1.466 when calculated to 3 decimal places because you stop once you reach the third decimal place. On the other hand, 22 divided by 15 = 1.467 when rounded to 3 decimal places. In order to round to the third decimal place you must calculate to at least the fourth decimal place so that you know how to round the third decimal place. See our Rounding Numbers Calculator for more information.

Also see our Long Division with Remainders to see the work for long division with remainders.

Parts of Division

For the division problem 471 divided by 32:

• 471 is the dividend
• 32 is the divisor
• 14.718 is the quotient calculated out to 3 decimal places

How to do Long Division with Decimals: Example

In this problem we divide 4.71 by 3.2 out to 3 decimal places in the quotient answer.

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

If the divisor is a decimal number, move the decimal all the way to the right. Count the number of places and move the decimal in the dividend the same number of places. Add zeroes if needed. Since 3.2 is not a whole number move the decimal point one place to the right. 32 is a whole number. Do the same to the dividend and move the decimal one place to the right. Since we are solving to 3 decimal places, add two trailing zeroes to the dividend.

Insert a decimal point above the division bar, directly above the new decimal position in the dividend.

Divide the left most number of the dividend by the divisor, in this case divide 4 by 32. Since 4 divided by 32 is not a whole number, the first quotient digit is 0.

Multiply the divisor 32 by the quotient 0 to get the product 0. Subtract 0 from 4 to get the remainder 4.

Next, bring down the 7 from the dividend so you have 47.

What is 47 divided by 32? Or in other words, how many times does 32 go into 47? Just once, with a remainder.

Insert 1 in the quotient. To find the remainder, multiply the divisor by 1 and subtract the product 32 from the second dividend 47. The remainder is 15.

Again, bring down the next digit from the dividend, 1, and place it at the end of the remainder.

Repeat the steps. What is 151 divided by 32? Or, how many times does 32 go into 151? 32 goes into 151 four times. Put a 4 in the next place in the quotient and multiply 32 by 4 to get 128.

Subtract that product from 151 to find a remainder of 23.

Bring down the 0 from the dividend and insert it after 23 to get 230.

What is 230 divided by 32? 32 goes into 230 seven times. Put a 7 in the next place in the quotient. 32 times 7 is 224.

230 minus 224 leaves a remainder of 6.

Now bring down the next zero from the dividend and repeat the steps.

32 goes into 60 only once. Put a 1 in the next place in the quotient. 32 multiplied by 1 is 32.

Subtracting 32 from 60 leaves a remainder of 28.

Wikipedia: Long Division

This quotient and remainder calculator helps you divide any number by an integer and calculate the result in the form of integers. In this article, we will explain to you how to use this tool and what are its limitations. We will also provide you with an example that will better illustrate its purpose.

When you perform division, you can typically write down this operation in the following way:

where:

• a — Initial number you want to divide, called the dividend;
• n — Number you divide by; it is called the divisor;
• q — Result of division rounded down to the nearest integer; it is called the quotient; and
• r — Remainder of this mathematical operation.

When performing division with our calculator with remainders, it is important to remember that all of these values must be integers. Otherwise, the result will be correct in the terms of formulas, but will not make mathematical sense.

Make sure to check our modulo calculator for a practical application of the calculator with remainders.

🔎 If the remainder is zero, then we say that a is divisible by n. To learn more about this concept, check out Omni's divisibility test calculator.

1. Begin with writing down your problem. For example, you want to divide 346 by 7.
2. Decide on which of the numbers is the dividend, and which is the divisor. The dividend is the number that the operation is performed on – in this case, 346. The divisor is the number that actually "does the work" – in this case, 7.
3. Perform the division – you can use any calculator you want. You will get a result that most probably is not an integer – in this example, 49.4285714.
4. Round this number down. In our example, you will get 49.
5. Multiply the number you obtained in the previous step by the divisor. In our case, 49 * 7 = 343.
6. Subtract the number from the previous step from your dividend to get the remainder: 346 - 343 = 3.
7. You can always use our calculator with remainders instead and save yourself some time 😀

1. Make sure you have an unknown equal to two or more different modulos, e.g., x = d mod a, e mod b & f mod c.
2. Check that all modulos have the same greatest common divisor.
3. Multiply each modulo by all but one other modulo, until all combinations are found. For the above moduli, this would be: b*c, a*c, a*b.
4. Divide each number by the modulo that it is missing. If it equals the remainder for that modulo, e.g., (b*c)/a = d, leave the number as is.
5. If the remainder is not that for the modulo, use trial and error to find a positive integer to multiply the number by so that step 4 becomes true.
6. Add all numbers together once step 4 is true for all combinations.

It's useful to remember some remainder shortcuts to save you time in the future. First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder. Lastly, you can multiply the decimal of the quotient by the divisor to get the remainder.

Learning how to calculate the remainder has many real-world uses and is something that school teaches you that you will definitely use in your everyday life. Let’s say you bought 18 doughnuts for your friend, but only 15 of them showed up, you’d have 3 left. Or how much money did you have left after buying the doughnuts? If the maximum number of monkeys in a barrel is 150, and there are 183 monkeys in an area, how many monkeys will be in the smaller group?

1. Set up your division, adding a decimal place followed by a zero after the dividend’s one’s column (if your dividend is already a decimal, add an additional zero to the end).
2. Perform the division as usual until you are left with the remainder.
3. Instead of writing the remainder after the quotient, move the remainder above the additional zero you placed.
4. If there is a remainder from this division, add another zero to the dividend and add the remainder to that.
5. Continue in this fashion until there is either: no remainder, the digit or digits repeat themselves endlessly, or you reach the desired degree of accuracy (3 decimal places is usually okay).
6. The result after the decimal place is the remainder as a decimal.

The quotient is the number of times a division is completed fully, while the remainder is the amount left that doesn’t entirely go into the divisor. For example, 127 divided by 3 is 42 R 1, so 42 is the quotient, and 1 is the remainder.

Once you have found the remainder of a division, instead of writing R followed by the remainder after the quotient, simply write a fraction where the remainder is divided by the divisor of the original equation. It's that easy!

There are 3 ways of writing a remainder: with an R, as a fraction, and as a decimal. For example, 821 divided by 4 would be written as 205 R 1 in the first case, 205 1/4 in the second, and 205.25 in the third.

The remainder is 2. To work this out, find the largest multiple of 6 that is less than 26. In this case, it’s 24. Then subtract the 24 from 26 to get the remainder, which is 2.

The remainder is 5. To calculate this, first, divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66. Multiply 66 by 9 to get 594, and subtract this from 599 to get 5, the remainder.

1. Subtract 7 from 24 repeatedly until the result is less than 7.
2. 24 minus 3 times 7 is 3.
3. The number that is left, 3, is the remainder.
4. This can be expressed as 3/7 in fractional form, or as 0.42857 in decimal form.