We look at the division of 7688 by 59 
We want to figure out the number of times 7688 can be divided by 59.

Advancing to step 1:
When dividing 7 by 59, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 59

Step 2:
The number 59 fits into 76 1 times, leaving a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 59 from 76 and we're left with 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 59

Step 3:
The number 59 fits into 178 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 177 from 178 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 59

Let's proceed to step 4:
59 goes into 18 0 times with a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 130.0
Subtracting 0 from 18 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 5:
59 can be fit into 180 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 130.3
Subtracting 177 from 180 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 6:
59 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 130.3
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
When dividing 300 by 59, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 130.305
If we subtract 295 from 300, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
When dividing 50 by 59, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 130.305
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
59 goes into 500 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 130.30508
Deduct 472 from 500 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
If we divide 280 by 59, we get 4 and a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 130.305084
The remainder is 44 after subtracting 236 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 11:
The number 59 fits into 440 7 times, leaving a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 130.3050847
Subtracting 413 from 440 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 12:
59 can be fit into 270 4 times, resulting in a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 130.30508474
Subtracting 236 from 270 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 130.30508474 with a remainder of 3.4e-08.