Long Division Method with Regrouping and with Remainder

We will discuss here how to solve step-by-step the long division method with regrouping and with remainder.

Consider the following examples:

1. 527 ÷ 3

Division with Regrouping and with Remainder

Step I: Begin with hundreds digit

5 hundreds ÷ 3 = 1 hundred

with remainder 2 hundreds

Step II: Bring down 2 tens to the right of 2 hundreds

2 hundreds + 2 tens = 22 tens

Step III: 22 tens ÷ 3 = 7 tens with remainder 1 ten

Step IV: Bring down 7 ones to the right of 1 ten. Then,

1 ten + 7 ones = 17 ones

Step V: 17 ones ÷ 3 = 5 ones with remainder 2 ones.

Therefore, 527 ÷ 3 = 175 with remainder 2


2. 6311 ÷ 4

Long Division Method with Regrouping and with Remainder

Step I: Begin with thousands digit

6 thousands ÷ 4 = 1 thousand with remainder 2 thousands

Step II: Bring down 3 hundreds to the right of 2 thousands. Then,

2 thousands + 3 hundreds = 23 hundreds

Step III: Now 23 hundreds ÷ 4 = 5 hundreds with remainder 3 hundreds

Step IV: Bring down 1 ten to the right of 3 hundreds

Then, 3 hundreds + 1 ten = 31 tens

Step V: Now, 31 tens ÷ 4 = 7 tens with remainder 3 tens

Step VI: Bring down 1 one to the right of 3 tens

then 3 tens + 1 one = 31 ones

Now 31 ones ÷ 4 = 7 ones with remainder 3 ones

Therefore 6311 ÷ 4 = 1577 with remainder 3








3rd Grade Math Worksheets

3rd Grade Math Lessons

From Long Division Method with Regrouping and with Remainder to HOME PAGE



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. Counting Eleven to Twenty with Numbers and Words |Numbers from 11 - 20

    Apr 04, 25 03:21 PM

    Counting eleven to twenty with numbers and words are explained below. One ten and one more is eleven. Eleven comes after ten. One ten and two more is twelve. Twelve comes after eleven.

    Read More

  2. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  3. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  4. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More

  5. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Apr 03, 25 10:22 AM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More