We look at the division of 517759 by 59 
Our goal is to divide 517759 by 59.

Advancing to step 1:
59 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 59

Going ahead to step 2:
51 divided by 59 is 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 59

Step 3:
59 can be fit into 517 8 times, resulting in a remainder of 45.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 472 away from 517, we end up with 45.
Grab the next digit (7) from the dividend, add it to 45, then carry on: 457 / 59

Let's proceed to step 4:
59 can be fit into 457 7 times, resulting in a remainder of 44.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtracting 413 from 457 leaves us with 44.
Append the next digit (5) from the dividend to 44 and continue with: 445 / 59

Step 5:
When dividing 445 by 59, we get 7 with a remainder of 32.
The next digit of our result is 7. 
Result so far: 877.0
Deduct 413 from 445 and we're left with 32.
Grab the next digit (9) from the dividend, add it to 32, then carry on: 329 / 59

Moving on to step 6:
The number 59 fits into 329 5 times, leaving a remainder of 34.
Put 5 as the next digit of the answer. 
Result so far: 8775.0
Subtract 295 from 329 to 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.

On to step 7:
The number 59 fits into 340 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 8775.5
Deduct 295 from 340 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
450 divided by 59 is 7 with a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 8775.57
If we take 413 away from 450, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 9:
When dividing 370 by 59, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 8775.576
Subtracting 354 from 370 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.

Moving on to step 10:
When dividing 160 by 59, we get 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 8775.5762
The remainder is 42 after subtracting 118 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 11:
The number 59 fits into 420 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 8775.57627
Deduct 413 from 420 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
When dividing 70 by 59, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 8775.576271
If we take 59 away from 70, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 13:
If we divide 110 by 59, we get 1 and a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 8775.5762711
If we subtract 59 from 110, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

After the division, we end up with 8775.5762711 and a remainder of 5.1e-07.