7257 ÷ 63 
We want to divide 7257 by 63.

Going ahead to step 1:
The number 63 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 63

Step 2:
The number 63 fits into 72 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 63 from 72, we get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 63

Step 3:
When dividing 95 by 63, we get 1 with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 63 from 95 to get 32.
Fetch the next digit (7) from the dividend, attach it to 32 and continue: 327 / 63

Step 4:
If we divide 327 by 63, we get 5 and a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 115.0
If we take 315 away from 327, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 5:
If we divide 120 by 63, we get 1 and a remainder of 57.
Record the quotient 1 as the next digit in the result. 
Result so far: 115.1
Deduct 63 from 120 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 6:
63 goes into 570 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 115.19
Deduct 567 from 570 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
The number 63 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 115.19
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 63 fits into 300 4 times, leaving a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 115.1904
If we take 252 away from 300, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 9:
63 can be fit into 480 7 times, resulting in a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 115.19047
Deduct 441 from 480 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
The number 63 fits into 390 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 115.190476
Subtracting 378 from 390 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
When dividing 120 by 63, we get 1 with a remainder of 57.
The next digit of our result is 1. 
Result so far: 115.1904761
The remainder is 57 after subtracting 63 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 12:
570 divided by 63 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 115.19047619
If we take 567 away from 570, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 115.19047619 and a remainder of 3e-09.