We're dividing 515337 by 59 
Our goal is to divide 515337 by 59.

Going ahead to step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 59

On to step 2:
If we divide 51 by 59, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Take the next digit (5) from the dividend and append it to 51, then repeat: 515 / 59

Step 3:
When dividing 515 by 59, we get 8 with a remainder of 43.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 472 from 515 to get 43.
Append the next digit (3) from the dividend to 43 and continue with: 433 / 59

Going ahead to step 4:
59 can be fit into 433 7 times, resulting in a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
Subtract 413 from 433 to get 20.
Append the next digit (3) from the dividend to 20 and continue with: 203 / 59

Advancing to step 5:
When dividing 203 by 59, we get 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 873.0
If we subtract 177 from 203, we get 26.
Take the next digit (7) from the dividend and append it to 26, then repeat: 267 / 59

Advancing to step 6:
The number 59 fits into 267 4 times, leaving a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 8734.0
Deduct 236 from 267 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
310 divided by 59 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 8734.5
If we subtract 295 from 310, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
The number 59 fits into 150 2 times, leaving a remainder of 32.
The next digit of our result is 2. 
Result so far: 8734.52
The remainder is 32 after subtracting 118 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
The number 59 fits into 320 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 8734.525
If we subtract 295 from 320, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
59 can be fit into 250 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 8734.5254
The remainder is 14 after subtracting 236 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
If we divide 140 by 59, we get 2 and a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 8734.52542
Subtract 118 from 140 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 12:
59 goes into 220 3 times with a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 8734.525423
The remainder is 43 after subtracting 177 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 13:
59 goes into 430 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 8734.5254237
If we take 413 away from 430, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 14:
170 divided by 59 is 2 with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 8734.52542372
If we subtract 118 from 170, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 8734.52542372, with a leftover of 5.2e-08.