68597 ÷ 59 
We want to figure out the number of times 68597 can be divided by 59.

Advancing to step 1:
59 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 59

Advancing to step 2:
The number 59 fits into 68 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 59 from 68, we get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 59

Advancing to step 3:
If we divide 95 by 59, we get 1 and a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 59 from 95 to get 36.
Fetch the next digit (9) from the dividend, attach it to 36 and continue: 369 / 59

Step 4:
The number 59 fits into 369 6 times, leaving a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 116.0
The remainder is 15 after subtracting 354 from 369.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 59

On to step 5:
59 goes into 157 2 times with a remainder of 39.
Use 2 as the next digit of our solution. 
Result so far: 1162.0
Subtract 118 from 157 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 6:
The number 59 fits into 390 6 times, leaving a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 1162.6
Subtract 354 from 390 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
If we divide 360 by 59, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 1162.66
Subtracting 354 from 360 leaves us 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.

Our division results in 1162.66 with a remaining 0.006.