We look at the division of 653588 by 61 
Our goal is to divide 653588 by 61.

On to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 61

Going ahead to step 2:
If we divide 65 by 61, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 61 from 65 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 61

On to step 3:
The number 61 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 43 leaves us with 43.
Grab the next digit (5) from the dividend, add it to 43, then carry on: 435 / 61

Let's proceed to step 4:
If we divide 435 by 61, we get 7 and a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 107.0
If we take 427 away from 435, we end up with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 61

Advancing to step 5:
The number 61 fits into 88 1 times, leaving a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 1071.0
Deduct 61 from 88 and we're left with 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 61

On to step 6:
The number 61 fits into 278 4 times, leaving a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 10714.0
Subtracting 244 from 278 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.

Advancing to step 7:
When dividing 340 by 61, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 10714.5
The remainder is 35 after subtracting 305 from 340.
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 8:
When dividing 350 by 61, we get 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 10714.55
If we take 305 away from 350, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 10714.55 with a remaining 0.045.