We look at the division of 117829 by 87 
We want to divide 117829 by 87.

On to step 1:
1 divided by 87 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 87

Moving on to step 2:
87 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 87

Advancing to step 3:
If we divide 117 by 87, we get 1 and a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 87 from 117 to get 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 87

Going ahead to step 4:
87 goes into 308 3 times with a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 261 from 308 to get 47.
Take the next digit (2) from the dividend and append it to 47, then repeat: 472 / 87

On to step 5:
87 can be fit into 472 5 times, resulting in a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 135.0
Deduct 435 from 472 and we're left with 37.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 87

Advancing to step 6:
When dividing 379 by 87, we get 4 with a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 1354.0
If we subtract 348 from 379, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
If we divide 310 by 87, we get 3 and a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 1354.3
Subtracting 261 from 310 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 8:
The number 87 fits into 490 5 times, leaving a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 1354.35
Subtracting 435 from 490 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 9:
If we divide 550 by 87, we get 6 and a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 1354.356
If we take 522 away from 550, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
87 goes into 280 3 times with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 1354.3563
If we take 261 away from 280, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 11:
The number 87 fits into 190 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 1354.35632
Subtracting 174 from 190 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
When dividing 160 by 87, we get 1 with a remainder of 73.
The next digit of our result is 1. 
Result so far: 1354.356321
Subtract 87 from 160 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 13:
87 goes into 730 8 times with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 1354.3563218
The remainder is 34 after subtracting 696 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
87 goes into 340 3 times with a remainder of 79.
The next digit of our result is 3. 
Result so far: 1354.35632183
If we take 261 away from 340, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

After the division, we end up with 1354.35632183 and a remainder of 7.9e-08.