We look at the division of 13170114 by 659 
We're looking to find how many times 659 goes into 13170114.

Moving on to step 1:
If we divide 1 by 659, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 659

On to step 2:
If we divide 13 by 659, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 659

Step 3:
If we divide 131 by 659, we get 0 and a remainder of 131.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 131 after subtracting 0 from 131.
Bring next digit (7) of the dividend behind the 131 and repeat the process: 1317 / 659

Moving on to step 4:
1317 divided by 659 is 1 with a remainder of 658.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 659 from 1317, we get 658.
Fetch the next digit (0) from the dividend, attach it to 658 and continue: 6580 / 659

On to step 5:
6580 divided by 659 is 9 with a remainder of 649.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 5931 from 6580 and we're left with 649.
Fetch the next digit (1) from the dividend, attach it to 649 and continue: 6491 / 659

Moving on to step 6:
659 goes into 6491 9 times with a remainder of 560.
The number 9 becomes the next digit in our result. 
Result so far: 199.0
Subtracting 5931 from 6491 leaves us with 560.
Include the next digit (1) from the dividend after 560, then repeat: 5601 / 659

Moving on to step 7:
The number 659 fits into 5601 8 times, leaving a remainder of 329.
Write down 8 as next digit of the result. 
Result so far: 1998.0
The remainder is 329 after subtracting 5272 from 5601.
Fetch the next digit (4) from the dividend, attach it to 329 and continue: 3294 / 659

Step 8:
The number 659 fits into 3294 4 times, leaving a remainder of 658.
Write down 4 as next digit of the result. 
Result so far: 19984.0
Subtracting 2636 from 3294 leaves us with 658.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6580, and continue the process.

Going ahead to step 9:
If we divide 6580 by 659, we get 9 and a remainder of 649.
Write down 9 as next digit of the result. 
Result so far: 19984.9
If we take 5931 away from 6580, we end up with 649.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6490, and continue the process.

Step 10:
The number 659 fits into 6490 9 times, leaving a remainder of 559.
Put 9 as the next digit of the answer. 
Result so far: 19984.99
The remainder is 559 after subtracting 5931 from 6490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5590, and continue the process.

Our division results in 19984.99 with a remaining 0.559.