171101 ÷ 63 
Let's see how many times 63 fits into 171101.

Moving on to step 1:
The number 63 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 63

Advancing to step 2:
If we divide 17 by 63, we get 0 and a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 63

Advancing to step 3:
The number 63 fits into 171 2 times, leaving a remainder of 45.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 126 from 171 to get 45.
Append the next digit (1) from the dividend to 45 and continue with: 451 / 63

On to step 4:
The number 63 fits into 451 7 times, leaving a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
If we take 441 away from 451, we end up with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 63

Moving on to step 5:
63 can be fit into 100 1 times, resulting in a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 271.0
If we subtract 63 from 100, we get 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 63

Let's proceed to step 6:
371 divided by 63 is 5 with a remainder of 56.
The number 5 becomes the next digit in our result. 
Result so far: 2715.0
If we take 315 away from 371, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 7:
63 goes into 560 8 times with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 2715.8
The remainder is 56 after subtracting 504 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
63 goes into 560 8 times with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 2715.88
If we take 504 away from 560, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The quotient of the division is 2715.88, and the remainder is 0.056.