College

What is the quotient of the following division problem?

[tex] 4430 \div 207 = ? [/tex]

A. 22 r 83
B. 21 r 82
C. 20 r 82
D. 21 r 83

Answer :

To solve the division problem [tex]\(4430 \div 207\)[/tex], we need to find both the quotient and the remainder.

1. Divide the numbers:
Start by seeing how many times 207 can fit into 4430. We will divide 4430 by 207.

- Calculate how many times 207 can be subtracted from 4430 without making the result negative.

2. Calculate the quotient:
- It turns out that 207 can fit into 4430 exactly 21 times. This means the quotient is 21.

3. Calculate the remainder:
- To find the remainder, multiply the quotient (21) by the divisor (207) and subtract this product from the original number (4430).
- [tex]\(21 \times 207 = 4347\)[/tex]
- Subtract this product from 4430:
[tex]\(4430 - 4347 = 83\)[/tex]

Therefore, when you divide 4430 by 207, the quotient is 21 with a remainder of 83.

So, the correct answer is D. 21 r 83.