Let's divide 37763 by 21
We want to figure out the number of times 37763 can be divided by 21.

Advancing to step 1:
The number 21 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 21

Moving on to step 2:
When dividing 37 by 21, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 16 after subtracting 21 from 37.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 21

Going ahead to step 3:
167 divided by 21 is 7 with a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 147 from 167 and we're left with 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 21

On to step 4:
21 goes into 206 9 times with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 179.0
If we subtract 189 from 206, we get 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 21

Going ahead to step 5:
If we divide 173 by 21, we get 8 and a remainder of 5.
The next digit of our result is 8. 
Result so far: 1798.0
If we subtract 168 from 173, we 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.

Let's proceed to step 6:
21 can be fit into 50 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1798.2
The remainder is 8 after subtracting 42 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
21 can be fit into 80 3 times, resulting in a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 1798.23
If we subtract 63 from 80, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
If we divide 170 by 21, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1798.238
If we take 168 away from 170, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
The number 21 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1798.238
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
The number 21 fits into 200 9 times, leaving a remainder of 11.
The next digit of our result is 9. 
Result so far: 1798.23809
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 11:
21 goes into 110 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1798.238095
Subtract 105 from 110 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.

Going ahead to step 12:
When dividing 50 by 21, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1798.2380952
If we subtract 42 from 50, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
80 divided by 21 is 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 1798.23809523
Deduct 63 from 80 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 1798.23809523 with a remainder of 1.7e-08.