Solve Division Problem: Calculate 458 ÷ 7

Question

$458:7=$

00:00 Solve

00:03 Let's use the distributive law

00:07 Break down 458 into 420 plus 38

00:15 Break down 38 into 35 plus 3

00:24 Divide each factor separately

00:37 Solve each division and then sum

00:47 And this is the solution to the question

In order to simplify the resolution process, we first separate 458 into a smaller addition exercise and choose numbers that are divisible by 7:

$(420+38):7=$

We then further separate 38 into a smaller addition exercise and choose numbers that are divisible by 7:

$(420+35+3):7=$

We divide each of the terms inside of the parentheses by 7:

$\frac{420}{7}+\frac{35}{7}+\frac{3}{7}=$

Finally we solve the fractions as follows:

$60+5+\frac{3}{7}=65\frac{3}{7}$

$65\frac{3}{7}$