Solve Division Problem: 102 ÷ 2 Step-by-Step

We will use the distributive property of division and split the number 102 into a sum of 100 and 2, which makes the division operation easier and allows us to solve the exercise without a calculator.

Note - it's best to choose to split the number based on knowledge of multiples. In this case of the digit 2 because we need to divide by 2. Additionally, in this case, splitting by tens and ones is suitable and makes the division operation easier.

Reminder - The distributive property of division essentially allows us to split the larger term in the division problem into a sum or difference of smaller numbers, which makes the division operation easier and gives us the ability to solve the exercise without a calculator

We will use the formula of the distributive property

 (a+b):c=a:c+b:c 

$102:2=(100+2):2$

$(100+2):2=100:2+2:2$

$100:2+2:2=50+1$

$50+1=51$

Therefore the answer is section a - 51.