We look at the division of 21634797 by 565 
Let's see how many times 565 fits into 21634797.

Advancing to step 1:
2 divided by 565 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 565

On to step 2:
The number 565 fits into 21 0 times, leaving a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 565

Let's proceed to step 3:
The number 565 fits into 216 0 times, leaving a remainder of 216.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 216, we end up with 216.
Include the next digit (3) from the dividend after 216, then repeat: 2163 / 565

Step 4:
If we divide 2163 by 565, we get 3 and a remainder of 468.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 1695 from 2163 and we're left with 468.
Bring next digit (4) of the dividend behind the 468 and repeat the process: 4684 / 565

Let's proceed to step 5:
4684 divided by 565 is 8 with a remainder of 164.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Subtract 4520 from 4684 to get 164.
Take the next digit (7) from the dividend and append it to 164, then repeat: 1647 / 565

Step 6:
565 can be fit into 1647 2 times, resulting in a remainder of 517.
Write down 2 as next digit of the result. 
Result so far: 382.0
Subtracting 1130 from 1647 leaves us with 517.
Bring next digit (9) of the dividend behind the 517 and repeat the process: 5179 / 565

Going ahead to step 7:
5179 divided by 565 is 9 with a remainder of 94.
Use 9 as the next digit of our solution. 
Result so far: 3829.0
Deduct 5085 from 5179 and we're left with 94.
Append the next digit (7) from the dividend to 94 and continue with: 947 / 565

Step 8:
The number 565 fits into 947 1 times, leaving a remainder of 382.
The next digit of our result is 1. 
Result so far: 38291.0
If we take 565 away from 947, we end up with 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

On to step 9:
565 goes into 3820 6 times with a remainder of 430.
Record the quotient 6 as the next digit in the result. 
Result so far: 38291.6
If we take 3390 away from 3820, we end up with 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Going ahead to step 10:
4300 divided by 565 is 7 with a remainder of 345.
Put 7 as the next digit of the answer. 
Result so far: 38291.67
The remainder is 345 after subtracting 3955 from 4300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Advancing to step 11:
565 can be fit into 3450 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 38291.676
If we take 3390 away from 3450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 12:
565 goes into 600 1 times with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 38291.6761
If we subtract 565 from 600, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 13:
If we divide 350 by 565, we get 0 and a remainder of 350.
Record the quotient 0 as the next digit in the result. 
Result so far: 38291.6761
The remainder is 350 after subtracting 0 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Advancing to step 14:
The number 565 fits into 3500 6 times, leaving a remainder of 110.
The next digit of our result is 6. 
Result so far: 38291.676106
The remainder is 110 after subtracting 3390 from 3500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Moving on to step 15:
565 can be fit into 1100 1 times, resulting in a remainder of 535.
Record the quotient 1 as the next digit in the result. 
Result so far: 38291.6761061
Subtracting 565 from 1100 leaves us with 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

Advancing to step 16:
If we divide 5350 by 565, we get 9 and a remainder of 265.
Write down 9 as next digit of the result. 
Result so far: 38291.67610619
If we subtract 5085 from 5350, we get 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

The final result is 38291.67610619 with a remainder of 2.65e-07.