Solve Division Problem: 742 Divided by 4

Question

742:4= 742:4=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distributive law
00:07 Let's break down 742 into 700 plus 42
00:13 Let's break down 700 into 400 plus 200 plus 100
00:20 Let's break down 42 into 40 plus 2
00:29 Let's divide each factor separately
00:47 Let's solve each division and then sum up
01:10 Let's solve one addition operation at a time
01:24 And this is the solution to the question

Step-by-Step Solution

In order to simplify the resolution process, we begin by breaking down the number 742 into a smaller addition exercise:

(700+42):4 (700+42):4

We then divide the two numbers within the parentheses into smaller numbers. The numbers should be more manageable for us to divide by 4:

(400+200+100+40+2):4= (400+200+100+40+2):4=

Following this we divide each number inside of the parentheses by 4:

4004+2004+1004+404+24= \frac{400}{4}+\frac{200}{4}+\frac{100}{4}+\frac{40}{4}+\frac{2}{4}=

We then solve all the fractions:

100+50+25+10+12= 100+50+25+10+\frac{1}{2}=

Lastly we solve the exercise from left to right:

100+50=150 100+50=150

150+25=175 150+25=175

175+10=185 175+10=185

185+12=18512 185+\frac{1}{2}=185\frac{1}{2}

Answer

18512 185\frac{1}{2}