Long division when divisor is larger

Introduction

In this lesson, you will learn to use the division algorithm with larger numbers.

Previously, you learned how to do long division when dividing by a one-digit number or divisor.

You use the same division steps when the number being divided by (the divisor) has multiple digits.

This video illustrates the lesson material below.

Dividend and divisor

Watching the video is optional.

Practicing Long Division with Two Digits

This example demonstrates how to use the division algorithm with bigger numbers. Use the steps for division:

1. Put the number being divided (the dividend) under the box and the other number (the divisor) to the left of the box.
2. Starting on the left, determine how many times the divisor can go into the first digit of the dividend.
3. Write that number above the digit and subtract the product of that number and the divisor from the dividend.
4. Repeat steps 2 and 3, moving to the right.

Example 1
\(5986\div82\)

Begin by drawing the division symbol.

Put 5986 underneath it, and 82 to the left of the symbol:
\begin {align*}
\require{enclose}82\enclose{longdiv}

how to do long division when the divisor is larger than the dividend

how do you divide when divisor is bigger