We look at the division of 21973766 by 565 
We want to figure out the number of times 21973766 can be divided by 565.

Advancing to step 1:
2 divided by 565 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 565

On to step 2:
21 divided by 565 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 565

Advancing to step 3:
When dividing 219 by 565, we get 0 with a remainder of 219.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 219 to get 219.
Fetch the next digit (7) from the dividend, attach it to 219 and continue: 2197 / 565

On to step 4:
When dividing 2197 by 565, we get 3 with a remainder of 502.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 502 after subtracting 1695 from 2197.
Include the next digit (3) from the dividend after 502, then repeat: 5023 / 565

Advancing to step 5:
565 goes into 5023 8 times with a remainder of 503.
Use 8 as the next digit of our solution. 
Result so far: 38.0
The remainder is 503 after subtracting 4520 from 5023.
Fetch the next digit (7) from the dividend, attach it to 503 and continue: 5037 / 565

Moving on to step 6:
565 goes into 5037 8 times with a remainder of 517.
Write down 8 as next digit of the result. 
Result so far: 388.0
Subtract 4520 from 5037 to get 517.
Include the next digit (6) from the dividend after 517, then repeat: 5176 / 565

Moving on to step 7:
If we divide 5176 by 565, we get 9 and a remainder of 91.
The next digit of our result is 9. 
Result so far: 3889.0
If we subtract 5085 from 5176, we get 91.
Grab the next digit (6) from the dividend, add it to 91, then carry on: 916 / 565

Advancing to step 8:
916 divided by 565 is 1 with a remainder of 351.
Write down 1 as next digit of the result. 
Result so far: 38891.0
If we subtract 565 from 916, we get 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

On to step 9:
565 can be fit into 3510 6 times, resulting in a remainder of 120.
Put 6 as the next digit of the answer. 
Result so far: 38891.6
If we subtract 3390 from 3510, we get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Step 10:
565 can be fit into 1200 2 times, resulting in a remainder of 70.
Put 2 as the next digit of the answer. 
Result so far: 38891.62
If we subtract 1130 from 1200, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 11:
700 divided by 565 is 1 with a remainder of 135.
Record the quotient 1 as the next digit in the result. 
Result so far: 38891.621
Subtracting 565 from 700 leaves us with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

On to step 12:
If we divide 1350 by 565, we get 2 and a remainder of 220.
The number 2 becomes the next digit in our result. 
Result so far: 38891.6212
The remainder is 220 after subtracting 1130 from 1350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Advancing to step 13:
2200 divided by 565 is 3 with a remainder of 505.
Put 3 as the next digit of the answer. 
Result so far: 38891.62123
Deduct 1695 from 2200 and we're left with 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Moving on to step 14:
If we divide 5050 by 565, we get 8 and a remainder of 530.
Put 8 as the next digit of the answer. 
Result so far: 38891.621238
If we take 4520 away from 5050, we end up with 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

On to step 15:
The number 565 fits into 5300 9 times, leaving a remainder of 215.
Use 9 as the next digit of our solution. 
Result so far: 38891.6212389
Subtracting 5085 from 5300 leaves us with 215.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2150, and continue the process.

Advancing to step 16:
When dividing 2150 by 565, we get 3 with a remainder of 455.
Write down 3 as next digit of the result. 
Result so far: 38891.62123893
The remainder is 455 after subtracting 1695 from 2150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

The final result is 38891.62123893 with a remainder of 4.55e-07.