We look at the division of 117579 by 59 
We want to figure out the number of times 117579 can be divided by 59.

Advancing to step 1:
The number 59 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 59

Step 2:
If we divide 11 by 59, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 59

Step 3:
117 divided by 59 is 1 with a remainder of 58.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 59 from 117, we get 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 59

Moving on to step 4:
59 can be fit into 585 9 times, resulting in a remainder of 54.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we take 531 away from 585, we end up with 54.
Include the next digit (7) from the dividend after 54, then repeat: 547 / 59

On to step 5:
If we divide 547 by 59, we get 9 and a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 199.0
Deduct 531 from 547 and we're left with 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 59

Advancing to step 6:
The number 59 fits into 169 2 times, leaving a remainder of 51.
Record the quotient 2 as the next digit in the result. 
Result so far: 1992.0
If we subtract 118 from 169, 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.

On to step 7:
When dividing 510 by 59, we get 8 with a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 1992.8
If we subtract 472 from 510, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
59 can be fit into 380 6 times, resulting in a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 1992.86
Deduct 354 from 380 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
59 can be fit into 260 4 times, resulting in a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 1992.864
The remainder is 24 after subtracting 236 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
If we divide 240 by 59, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 1992.8644
Subtract 236 from 240 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 1992.8644 with a remaining 4e-05.