679979 divided by 59 
We're looking to find how many times 59 goes into 679979.

On to step 1:
If we divide 6 by 59, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 59

Going ahead to step 2:
59 goes into 67 1 times with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 59 from 67 leaves us with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 59

On to step 3:
59 goes into 89 1 times with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 59 from 89 to get 30.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 59

On to step 4:
If we divide 309 by 59, we get 5 and a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 115.0
Subtract 295 from 309 to get 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 59

Advancing to step 5:
If we divide 147 by 59, we get 2 and a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 1152.0
If we subtract 118 from 147, we get 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 59

Going ahead to step 6:
59 can be fit into 299 5 times, resulting in a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 11525.0
Deduct 295 from 299 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
The number 59 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 11525.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
400 divided by 59 is 6 with a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 11525.06
Deduct 354 from 400 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 9:
If we divide 460 by 59, we get 7 and a remainder of 47.
The next digit of our result is 7. 
Result so far: 11525.067
If we take 413 away from 460, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 10:
If we divide 470 by 59, we get 7 and a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 11525.0677
The remainder is 57 after subtracting 413 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 11525.0677 with a remainder of 0.00057.