We're dividing 653375 by 61 
Our goal is to divide 653375 by 61.

On to step 1:
61 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 61

Moving on to step 2:
The number 61 fits into 65 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 61 away from 65, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 61

Step 3:
When dividing 43 by 61, we get 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 43 and we're left with 43.
Append the next digit (3) from the dividend to 43 and continue with: 433 / 61

Going ahead to step 4:
61 can be fit into 433 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Deduct 427 from 433 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 61

Let's proceed to step 5:
When dividing 67 by 61, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1071.0
Deduct 61 from 67 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 61

Let's proceed to step 6:
The number 61 fits into 65 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 10711.0
If we subtract 61 from 65, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
When dividing 40 by 61, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 10711.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
61 can be fit into 400 6 times, resulting in a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 10711.06
If we subtract 366 from 400, we get 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 9:
The number 61 fits into 340 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 10711.065
If we subtract 305 from 340, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
If we divide 350 by 61, we get 5 and a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 10711.0655
Subtract 305 from 350 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 10711.0655, and the remainder is 0.00045.