College

Choose the correct solution for the division:

1. [tex]76 \div 8[/tex]

A. [tex]76 \div 8 = 9[/tex]

B. [tex]76 \div 8 = 9 \, R \, 4[/tex]

C. [tex]76 \div 9 = 8 \, R \, 2[/tex]

D. [tex]76 \div 9 = 8 \, R \, 6[/tex]

Answer :

Sure! Let's go through the steps for dividing the numbers.

1. Divide 76 by 8:
- First, see how many times 8 goes into the first part of the number. Since 8 can only fit into 76, we start by estimating how many full groups of 8 are in 76.
- 8 goes into 76 a total of 9 times, since 8 multiplied by 9 is 72.
- Subtract 72 from 76, and you get a remainder of 4.
- So, [tex]\(76 \div 8\)[/tex] results in a quotient of 9 with a remainder of 4. Therefore, 76 ÷ 8 equals 9 R 4.

2. Divide 76 by 9:
- Now, see how many times 9 goes into 76.
- 9 fits into 76 a total of 8 times, because 9 multiplied by 8 is 72.
- Subtract 72 from 76, and the remainder is 4.
- So, [tex]\(76 \div 9\)[/tex] results in a quotient of 8 with a remainder of 4. Hence, 76 ÷ 9 equals 8 R 4.

Considering the choices provided:
- [tex]$76 \div 8=9$[/tex]
- [tex]$76 \div 8=9 R 4$[/tex]
- [tex]$76 \div 9=8 R 2$[/tex]
- [tex]$76 \div 9=8 R 6$[/tex]

The correct answer is [tex]\(76 \div 8 = 9 \, R \, 4\)[/tex].