We divide 655684 by 59
We're looking to find how many times 59 goes into 655684.

Moving on to step 1:
59 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 59

Step 2:
The number 59 fits into 65 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 59 from 65, we get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 59

Let's proceed to step 3:
If we divide 65 by 59, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 59 away from 65, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 59

Advancing to step 4:
66 divided by 59 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
If we take 59 away from 66, we end up with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 59

Moving on to step 5:
59 can be fit into 78 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1111.0
If we subtract 59 from 78, we get 19.
Append the next digit (4) from the dividend to 19 and continue with: 194 / 59

Going ahead to step 6:
If we divide 194 by 59, we get 3 and a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 11113.0
Subtracting 177 from 194 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
When dividing 170 by 59, we get 2 with a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 11113.2
Subtracting 118 from 170 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
When dividing 520 by 59, we get 8 with a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 11113.28
Subtract 472 from 520 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 9:
If we divide 480 by 59, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 11113.288
If we subtract 472 from 480, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 11113.288, and the remainder is 0.0008.