10598 divided by 63 
We're looking to find how many times 63 goes into 10598.

Moving on to step 1:
If we divide 1 by 63, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 63

On to step 2:
63 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 63

Moving on to step 3:
63 goes into 105 1 times with a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 63 from 105 leaves us with 42.
Append the next digit (9) from the dividend to 42 and continue with: 429 / 63

Going ahead to step 4:
The number 63 fits into 429 6 times, leaving a remainder of 51.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtracting 378 from 429 leaves us with 51.
Bring next digit (8) of the dividend behind the 51 and repeat the process: 518 / 63

Moving on to step 5:
The number 63 fits into 518 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 168.0
Subtracting 504 from 518 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 6:
63 goes into 140 2 times with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 168.2
If we subtract 126 from 140, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
If we divide 140 by 63, we get 2 and a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 168.22
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 168.22, and the remainder is 0.014.