Solve Division Problem: 742 Divided by 4

Question

$742:4=$

00:05 Let's solve this problem together.

00:08 We'll use the distributive law. It's really handy!

00:12 First, let's split 742 into 700, and 42.

00:18 Now, let's break down 700 into 400, 200, and 100.

00:25 Next, we divide 42 into 40, and 2.

00:34 We'll divide and solve each part separately. Ready?

00:52 Now, let's add up these results carefully.

01:15 We'll handle one addition at a time. Nice and easy!

01:29 And that's how we find the solution!

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

$(700+42):4$

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

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

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

$\frac{400}{4}+\frac{200}{4}+\frac{100}{4}+\frac{40}{4}+\frac{2}{4}=$

We then solve all the fractions:

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

Lastly we solve the exercise from left to right:

$100+50=150$

$150+25=175$

$175+10=185$

$185+\frac{1}{2}=185\frac{1}{2}$

$185\frac{1}{2}$