what is 91 divided by 7 in long division
The correct answer and explanation is:
Sure! Let’s do 91 divided by 7 using long division step-by-step, and then I’ll explain everything in detail.
Long Division of 91 ÷ 7:
- Write 91 (the dividend) under the division bracket and 7 (the divisor) outside.
__13__
7 | 91
- Look at the first digit of 91, which is 9.
- Ask: How many times does 7 go into 9 without exceeding it?
- 7 goes into 9 1 time (since 7 × 1 = 7).
- Write 1 above the 9.
_1___
7 | 91
7
- Multiply 7 × 1 = 7. Write this below the 9.
- Subtract 9 − 7 = 2.
- Bring down the next digit, which is 1, making the new number 21.
_1___
7 | 91
7
--
21
- Now, ask: How many times does 7 go into 21?
- 7 goes into 21 3 times (7 × 3 = 21).
- Write 3 next to the 1 above the division bar.
_13__
7 | 91
7
--
21
21
- Multiply 7 × 3 = 21. Write this below 21.
- Subtract 21 − 21 = 0.
No remainder is left.
Final Answer:
91 ÷ 7 = 13
Explanation (around 300 words):
Long division is a systematic method of dividing one number by another. The number you want to divide is called the dividend (here, 91), and the number you divide by is called the divisor (here, 7). The result is called the quotient.
In this example, we want to find out how many times 7 fits into 91.
We start by comparing the divisor 7 to the first digit of the dividend, which is 9. Since 7 fits into 9 once, we write 1 above the division bar aligned with the digit 9. We then multiply 7 by this quotient digit (1), getting 7, and subtract it from 9. The remainder is 2.
Next, we bring down the next digit of the dividend, which is 1, placing it next to the remainder, making 21. Now, we determine how many times 7 goes into 21 exactly, which is 3 times. We write 3 next to the 1 on top of the division bar, multiply 7 × 3 = 21, and subtract it from 21, leaving zero remainder.
When there is no remainder, and no digits left to bring down, the division is complete. The final quotient, 13, tells us that 7 goes into 91 exactly 13 times.
Long division helps break down complex division problems into smaller, manageable steps. Each step involves dividing, multiplying, subtracting, and bringing down the next digit until all digits in the dividend have been processed.