We're dividing 515165 by 59 
We want to divide 515165 by 59.

Step 1:
The number 59 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 59

On to step 2:
59 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Fetch the next digit (5) from the dividend, attach it to 51 and continue: 515 / 59

On to step 3:
The number 59 fits into 515 8 times, leaving a remainder of 43.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 472 from 515 to get 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 59

Step 4:
The number 59 fits into 431 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtracting 413 from 431 leaves us with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 59

Step 5:
When dividing 186 by 59, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 873.0
If we subtract 177 from 186, we get 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 59

Step 6:
59 can be fit into 95 1 times, resulting in a remainder of 36.
The next digit of our result is 1. 
Result so far: 8731.0
Deduct 59 from 95 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
360 divided by 59 is 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 8731.6
Deduct 354 from 360 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
59 can be fit into 60 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 8731.61
The remainder is 1 after subtracting 59 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
The number 59 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 8731.61
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
If we divide 100 by 59, we get 1 and a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 8731.6101
If we take 59 away from 100, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 11:
The number 59 fits into 410 6 times, leaving a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 8731.61016
The remainder is 56 after subtracting 354 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 12:
When dividing 560 by 59, we get 9 with a remainder of 29.
The next digit of our result is 9. 
Result so far: 8731.610169
Deduct 531 from 560 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 13:
If we divide 290 by 59, we get 4 and a remainder of 54.
Put 4 as the next digit of the answer. 
Result so far: 8731.6101694
The remainder is 54 after subtracting 236 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 14:
When dividing 540 by 59, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 8731.61016949
The remainder is 9 after subtracting 531 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 8731.61016949 with a remainder of 9e-09.