We're dividing 597961 by 63 
We're looking to find how many times 63 goes into 597961.

Advancing to step 1:
5 divided by 63 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 63

Advancing to step 2:
The number 63 fits into 59 0 times, leaving a remainder of 59.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 59 after subtracting 0 from 59.
Include the next digit (7) from the dividend after 59, then repeat: 597 / 63

Step 3:
If we divide 597 by 63, we get 9 and a remainder of 30.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 567 from 597 to get 30.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 63

Step 4:
If we divide 309 by 63, we get 4 and a remainder of 57.
The number 4 becomes the next digit in our result. 
Result so far: 94.0
If we take 252 away from 309, we end up with 57.
Take the next digit (6) from the dividend and append it to 57, then repeat: 576 / 63

On to step 5:
63 goes into 576 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 949.0
Subtracting 567 from 576 leaves us with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 63

Step 6:
If we divide 91 by 63, we get 1 and a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 9491.0
If we subtract 63 from 91, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
When dividing 280 by 63, we get 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 9491.4
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
When dividing 280 by 63, we get 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 9491.44
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 9491.44 with a remaining 0.028.