We look at the division of 623528 by 61 
Let's see how many times 61 fits into 623528.

On to step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 61

Going ahead to step 2:
61 can be fit into 62 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 61 from 62 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 61

Advancing to step 3:
The number 61 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 61

On to step 4:
If we divide 135 by 61, we get 2 and a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 102.0
Subtract 122 from 135 to get 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 61

Moving on to step 5:
61 goes into 132 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 1022.0
If we take 122 away from 132, we end up with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 61

Advancing to step 6:
When dividing 108 by 61, we get 1 with a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 10221.0
The remainder is 47 after subtracting 61 from 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
The number 61 fits into 470 7 times, leaving a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 10221.7
If we subtract 427 from 470, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 8:
The number 61 fits into 430 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 10221.77
The remainder is 3 after subtracting 427 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 10221.77 with a remainder of 0.003.