We look at the division of 654581 by 59 
We want to divide 654581 by 59.

Let's proceed to step 1:
59 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 59

Step 2:
59 goes into 65 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 59 away from 65, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 59

Moving on to step 3:
When dividing 64 by 59, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 5 after subtracting 59 from 64.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 59

Step 4:
If we divide 55 by 59, we get 0 and a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 110.0
If we take 0 away from 55, we end up with 55.
Grab the next digit (8) from the dividend, add it to 55, then carry on: 558 / 59

Advancing to step 5:
The number 59 fits into 558 9 times, leaving a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 1109.0
Deduct 531 from 558 and we're left with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 59

On to step 6:
59 can be fit into 271 4 times, resulting in a remainder of 35.
Put 4 as the next digit of the answer. 
Result so far: 11094.0
Subtracting 236 from 271 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 7:
350 divided by 59 is 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 11094.5
Subtracting 295 from 350 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
The number 59 fits into 550 9 times, leaving a remainder of 19.
The next digit of our result is 9. 
Result so far: 11094.59
Subtract 531 from 550 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
When dividing 190 by 59, we get 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 11094.593
Deduct 177 from 190 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
When dividing 130 by 59, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 11094.5932
Subtracting 118 from 130 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
120 divided by 59 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 11094.59322
If we subtract 118 from 120, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 11094.59322 with a remaining 2e-06.