117133 ÷ 87 
We want to figure out the number of times 117133 can be divided by 87.

On to step 1:
87 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 87

Step 2:
11 divided by 87 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 87

Going ahead to step 3:
When dividing 117 by 87, we get 1 with a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 87 from 117 leaves us with 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 87

Advancing to step 4:
When dividing 301 by 87, we get 3 with a remainder of 40.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 261 from 301 and we're left with 40.
Include the next digit (3) from the dividend after 40, then repeat: 403 / 87

On to step 5:
87 can be fit into 403 4 times, resulting in a remainder of 55.
Use 4 as the next digit of our solution. 
Result so far: 134.0
The remainder is 55 after subtracting 348 from 403.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 87

Moving on to step 6:
553 divided by 87 is 6 with a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 1346.0
If we subtract 522 from 553, 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:
87 can be fit into 310 3 times, resulting in a remainder of 49.
Write down 3 as next digit of the result. 
Result so far: 1346.3
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.

Moving on to step 8:
When dividing 490 by 87, we get 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 1346.35
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.

Let's proceed to step 9:
When dividing 550 by 87, we get 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 1346.356
If we subtract 522 from 550, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
If we divide 280 by 87, we get 3 and a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 1346.3563
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.

Step 11:
The number 87 fits into 190 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 1346.35632
If we take 174 away from 190, we end up 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.

On to step 12:
160 divided by 87 is 1 with a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 1346.356321
Deduct 87 from 160 and we're left with 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.
Put 8 as the next digit of the answer. 
Result so far: 1346.3563218
If we subtract 696 from 730, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
340 divided by 87 is 3 with a remainder of 79.
Record the quotient 3 as the next digit in the result. 
Result so far: 1346.35632183
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 1346.35632183 and a remainder of 7.9e-08.