what is 89 divided by 6 in long division
The Correct Answer and Explanation is:
To divide 89 by 6 using long division, follow these steps:
- Set up the division:
Place 89 as the dividend (the number you’re dividing) and 6 as the divisor (the number you’re dividing by). Set it up like this: markdownCopyEdit_______
6 | 89
2. **Divide the first digit**:
Look at the first digit of the dividend (8). Ask how many times 6 can fit into 8. Since 6 fits into 8 once, write 1 above the 8.
6 | 89
3. **Multiply and subtract**:
Multiply 6 by 1 (the result from the previous step). 6 × 1 = 6. Subtract this from 8:
8 − 6 = 2. Write the remainder (2) below the 8.
6 | 89
– 6
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4. **Bring down the next digit**:
Now, bring down the next digit from the dividend (9), making it 29.
6 | 89
– 6
5. **Divide the new number**:
Now, divide 29 by 6. 6 fits into 29 four times (6 × 4 = 24). Write 4 above the 9.
6 | 89
– 6
6. **Multiply and subtract**:
Multiply 6 by 4 (the result from the previous step). 6 × 4 = 24. Subtract this from 29:
29 − 24 = 5. Write the remainder (5) below 29.
6 | 89
– 6
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- 24
7. **Final result**:
The division is complete. The quotient is 14 and the remainder is 5. So, 89 ÷ 6 = 14 remainder 5. Alternatively, you can express this as:
\[
89 ÷ 6 = 14 \frac{5}{6}
\]
This is the long division process for dividing 89 by 6.
