763747 ÷ 21 
Our goal is to divide 763747 by 21.

Going ahead to step 1:
When dividing 7 by 21, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 21

On to step 2:
76 divided by 21 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 63 away from 76, we end up with 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 21

Moving on to step 3:
21 can be fit into 133 6 times, resulting in a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we take 126 away from 133, we end up with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 21

Step 4:
When dividing 77 by 21, we get 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 363.0
Subtracting 63 from 77 leaves us with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 21

Step 5:
21 can be fit into 144 6 times, resulting in a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 3636.0
Subtract 126 from 144 to get 18.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 21

Let's proceed to step 6:
If we divide 187 by 21, we get 8 and a remainder of 19.
The next digit of our result is 8. 
Result so far: 36368.0
Subtract 168 from 187 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
The number 21 fits into 190 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 36368.9
Subtract 189 from 190 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
The number 21 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 36368.9
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
21 goes into 100 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 36368.904
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
If we divide 160 by 21, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 36368.9047
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 11:
21 can be fit into 130 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 36368.90476
Deduct 126 from 130 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
The number 21 fits into 40 1 times, leaving a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 36368.904761
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
The number 21 fits into 190 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 36368.9047619
If we subtract 189 from 190, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
When dividing 10 by 21, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 36368.9047619
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 36368.9047619 and a remainder of 1e-08.