High School

What is the first step to solving the division problem below?

[tex]\[ 8 \, \longdiv{6288} \][/tex]

A. Divide 8 into 62 to get 7.
B. Divide 8 into 62 to get 8.
C. Multiply 8 by 7 to get 56.
D. Multiply 8 by 8 to get 62.

Answer :

To solve the division problem [tex]\(8 \longdiv{6288}\)[/tex], we begin by focusing on the first few digits of the dividend, which are 62.

1. First Step: Divide
We divide 8 into the first part of the dividend, which is 62. To determine how many times 8 goes into 62, we need to find the largest whole number that, when multiplied by 8, is less than or equal to 62.
- 8 goes into 62 7 times (since 8 times 7 equals 56 and 8 times 8 equals 64, which is too large).

2. Second Step: Multiply and Subtract
Multiply the quotient (which is 7) by the divisor (8) to get 56.
- Now, subtract 56 from 62, which results in a remainder of 6.

In summary, the first step is to divide 8 into 62 to get 7, then multiply 8 by 7 to confirm the multiplication part of the division. Thus, the correct choice for the first step in solving this division problem is:

"Divide 8 into 62 to get 7."