We look at the division of 81401 by 87 
We want to divide 81401 by 87.

Moving on to step 1:
The number 87 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 87

Moving on to step 2:
If we divide 81 by 87, we get 0 and a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 81, we get 81.
Fetch the next digit (4) from the dividend, attach it to 81 and continue: 814 / 87

Step 3:
The number 87 fits into 814 9 times, leaving a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 783 from 814 and we're left with 31.
Grab the next digit (0) from the dividend, add it to 31, then carry on: 310 / 87

On to step 4:
87 goes into 310 3 times with a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 93.0
Subtract 261 from 310 to get 49.
Append the next digit (1) from the dividend to 49 and continue with: 491 / 87

Going ahead to step 5:
The number 87 fits into 491 5 times, leaving a remainder of 56.
The next digit of our result is 5. 
Result so far: 935.0
If we take 435 away from 491, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 6:
87 can be fit into 560 6 times, resulting in a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 935.6
If we take 522 away from 560, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
380 divided by 87 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 935.64
Subtracting 348 from 380 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
When dividing 320 by 87, we get 3 with a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 935.643
The remainder is 59 after subtracting 261 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 9:
If we divide 590 by 87, we get 6 and a remainder of 68.
Put 6 as the next digit of the answer. 
Result so far: 935.6436
The remainder is 68 after subtracting 522 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 10:
87 goes into 680 7 times with a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 935.64367
Subtract 609 from 680 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 11:
87 goes into 710 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 935.643678
If we take 696 away from 710, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
When dividing 140 by 87, we get 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 935.6436781
Deduct 87 from 140 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 13:
The number 87 fits into 530 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 935.64367816
If we take 522 away from 530, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 935.64367816 and a remainder of 8e-09.