College

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

[tex]\[ 8 \, \bigg) \overline{6288} \][/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]\(8 \div 6288\)[/tex], we begin by looking at the first part of the process, which involves dividing the number 8 into the first two digits of 6288. Here's a step-by-step explanation:

1. Identify the dividend and the first portion to divide:
- Our dividend is 6288, and we need to start dividing from the leftmost side.
- Look at the number 62 (the first two digits of 6288) since 8 cannot be divided into 6, the single first digit.

2. Perform the division of the first portion:
- Divide 62 by 8.
- Determine how many times 8 fits into 62 without exceeding it.

3. Calculate the quotient:
- 8 can fit into 62 seven times without going over. So, the quotient of this division step is 7.

4. Multiply and subtract to find the remainder:
- Multiply the quotient (7) by the divisor (8): [tex]\( 8 \times 7 = 56 \)[/tex].
- Subtract this product from 62 to find the remainder: [tex]\( 62 - 56 = 6 \)[/tex].

So, the first step in solving the division is to divide the number 8 into 62, which results in a quotient of 7. The correct first step is described as: "Divide 8 into 62 to get 7."