We're dividing 361565 by 21 
We want to figure out the number of times 361565 can be divided by 21.

Advancing to step 1:
When dividing 3 by 21, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 21

Let's proceed to step 2:
21 goes into 36 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 21 from 36, we get 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 21

Advancing to step 3:
151 divided by 21 is 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 17.0
The remainder is 4 after subtracting 147 from 151.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 21

Going ahead to step 4:
21 can be fit into 45 2 times, resulting in a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 172.0
Deduct 42 from 45 and we're left with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 21

On to step 5:
The number 21 fits into 36 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1721.0
The remainder is 15 after subtracting 21 from 36.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 21

Step 6:
The number 21 fits into 155 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 17217.0
If we take 147 away from 155, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
The number 21 fits into 80 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 17217.3
The remainder is 17 after subtracting 63 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
170 divided by 21 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 17217.38
The remainder is 2 after subtracting 168 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
20 divided by 21 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 17217.38
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
21 can be fit into 200 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 17217.3809
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
21 goes into 110 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 17217.38095
Deduct 105 from 110 and we're left with 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 12:
If we divide 50 by 21, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 17217.380952
Subtract 42 from 50 to 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:
21 can be fit into 80 3 times, resulting in a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 17217.3809523
Subtract 63 from 80 to 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.

Moving on to step 14:
The number 21 fits into 170 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 17217.38095238
The remainder is 2 after subtracting 168 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 17217.38095238 with a remainder of 2e-09.