Let's divide 779 by 63
We want to figure out the number of times 779 can be divided by 63.

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
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 63

Step 2:
If we divide 77 by 63, we get 1 and a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 63 from 77 to get 14.
Grab the next digit (9) from the dividend, add it to 14, then carry on: 149 / 63

Step 3:
If we divide 149 by 63, we get 2 and a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 126 from 149 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 4:
The number 63 fits into 230 3 times, leaving a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 12.3
If we subtract 189 from 230, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 5:
63 goes into 410 6 times with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 12.36
Subtract 378 from 410 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 6:
320 divided by 63 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 12.365
Subtract 315 from 320 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
If we divide 50 by 63, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 12.365
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
63 goes into 500 7 times with a remainder of 59.
Write down 7 as next digit of the result. 
Result so far: 12.36507
Deduct 441 from 500 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 9:
The number 63 fits into 590 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 12.365079
If we take 567 away from 590, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 10:
63 can be fit into 230 3 times, resulting in a remainder of 41.
The next digit of our result is 3. 
Result so far: 12.3650793
Subtract 189 from 230 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 11:
The number 63 fits into 410 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 12.36507936
If we subtract 378 from 410, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 12.36507936, with a leftover of 3.2e-08.