6-Digit by 3-Digit Numbers Division with Reminder Worksheet

In this fifth grade math worksheet, students are required to find and write the quotient of 6 digit by 3 digit numbers long division with remainder as like in the given solved example of this online workbook for long division problems.In such problems, the dividend is always 6-digit numbers and the divisor is always 3-digit numbers.

To solve 6-digit by 3-digit numbers long division with remainder problems, from left to right, check how many times the 3-digit divisor can be subtracted from the first 3 or 4-digits of the given dividend and write it as part of quotient as how many number of times the divisor accommodated in the first 3 or 4-digits dividend. Write the difference between first three or four digits of dividend and the product of divisor & quotient below the line.

Bring down the 4th or 5th digit of dividend and append this to the right side of the earlier difference to form the new dividend and check how many times the 3-digit divisor can be subtracted from the new dividend and append the number (number of times) to the right side of the quotient.

In some cases, the new dividend formed by bringing down the 4th or 5th digit of initial dividend would be smaller than the divisor, so append zero to the quotient and bring down the 5th or 6th digit of initial dividend to form the new dividend which is more than the 3-digit divisor. Keep doing the earlier procedure until the last new dividend becomes to less than the divisor. Write down the last difference as remainder, if you can’t make any new dividend by brining down the digit of 6-digit dividend. The remainder is always lesser than the 3-digit divisor.

Teachers, parents or students can check or validate the completed math workbook containing the set of 5th grade math questions to practice 6 digit by 3 digit numbers long division with remainder by using the corresponding answers key.

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