We're dividing 653119 by 61 
Our goal is to divide 653119 by 61.

Going ahead to step 1:
61 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 61

Moving on to step 2:
65 divided by 61 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 61 from 65 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 61

Going ahead to step 3:
61 goes into 43 0 times with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 43 to get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 61

Advancing to step 4:
If we divide 431 by 61, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 107.0
If we take 427 away from 431, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 61

Advancing to step 5:
41 divided by 61 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 1070.0
If we subtract 0 from 41, we get 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 61

Moving on to step 6:
The number 61 fits into 419 6 times, leaving a remainder of 53.
The number 6 becomes the next digit in our result. 
Result so far: 10706.0
Subtracting 366 from 419 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
530 divided by 61 is 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 10706.8
The remainder is 42 after subtracting 488 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 8:
The number 61 fits into 420 6 times, leaving a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 10706.86
Subtract 366 from 420 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 9:
If we divide 540 by 61, we get 8 and a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 10706.868
If we take 488 away from 540, we end up 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.

Advancing to step 10:
If we divide 520 by 61, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 10706.8688
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 10706.8688 with a remainder of 0.00032.