Question

Which of these divisions results in a remainder different from the rest?(1 point)
Responses

19,372 divided by 23
19,372 divided by 23

21,062 divided by 22
21,062 divided by 22

24,089 divided by 23
24,089 divided by 23

13,798 divided by 14

Answer 1

To find which division results in a remainder that is different from the others, we need to calculate the remainder for each division. The remainder can be found using the formula:

\[
\text{Remainder} = \text{Dividend} - (\text{Divisor} \times \text{Quotient})
\]

where the quotient is obtained by integer division (floor division).

1. **19,372 divided by 23:**
- Quotient = 19,372 // 23 = 841
- Remainder = 19,372 - (23 * 841) = 19,372 - 19,363 = **9**

2. **21,062 divided by 22:**
- Quotient = 21,062 // 22 = 957
- Remainder = 21,062 - (22 * 957) = 21,062 - 21,054 = **8**

3. **24,089 divided by 23:**
- Quotient = 24,089 // 23 = 1043
- Remainder = 24,089 - (23 * 1043) = 24,089 - 24,049 = **40**

4. **13,798 divided by 14:**
- Quotient = 13,798 // 14 = 985
- Remainder = 13,798 - (14 * 985) = 13,798 - 13,790 = **8**

Now we have the remainders:
- 19,372 divided by 23 → **9**
- 21,062 divided by 22 → **8**
- 24,089 divided by 23 → **40**
- 13,798 divided by 14 → **8**

From this, the division that results in a remainder different from the rest is:
**24,089 divided by 23**, which has a remainder of **40**.