Sure, let's perform the long division of 27095 by 126 step-by-step to find both the quotient and the remainder.
1. Divide the first two digits:
- 270 is not enough, so consider the first three digits.
- 126 goes into 270 once (since 2 times 126 is 252, which is closer to but less than 270).
2. Divide:
- 126 goes into 270 exactly 2 times.
- 2 126 = 252.
- Write down 2 above the third digit of the dividend.
3. Subtract:
- 270 - 252 = 18.
- Bring down the next digit (the fourth digit, 9).
4. Repeat the process for 1895:
- 126 goes into 1895, considering the first three digits again (189).
- 126 goes into 189 once.
- 1 126 = 126.
- Write down 1 above the fourth digit of the original dividend.
5. Subtract:
- 189 - 126 = 63.
- Bring down the next digit (the fifth digit, 5).
6. Divide:
- 126 goes into 635 five times (since 5 * 126 = 630).
- Write down 5 above the fifth digit of the dividend.
7. Subtract:
- 635 - 630 = 5.
That completes our division as there are no more digits to bring down.
The quotient of dividing 27095 by 126 is 215, and the remainder is 5. So, the result of the division is 215 with a remainder of 5.
