Let's divide 75765 by 21
We're looking to find how many times 21 goes into 75765.

Step 1:
7 divided by 21 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 21

Let's proceed to step 2:
The number 21 fits into 75 3 times, leaving a remainder of 12.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 63 from 75 to get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 21

Moving on to step 3:
21 goes into 127 6 times with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
Deduct 126 from 127 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 21

Moving on to step 4:
The number 21 fits into 16 0 times, leaving a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 360.0
If we subtract 0 from 16, we get 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 21

Let's proceed to step 5:
When dividing 165 by 21, we get 7 with a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 3607.0
Deduct 147 from 165 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 6:
180 divided by 21 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 3607.8
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
When dividing 120 by 21, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 3607.85
Deduct 105 from 120 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
150 divided by 21 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 3607.857
Deduct 147 from 150 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
When dividing 30 by 21, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 3607.8571
The remainder is 9 after subtracting 21 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
90 divided by 21 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 3607.85714
If we subtract 84 from 90, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
The number 21 fits into 60 2 times, leaving a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 3607.857142
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
21 goes into 180 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 3607.8571428
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
120 divided by 21 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 3607.85714285
The remainder is 15 after subtracting 105 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 3607.85714285, with a leftover of 1.5e-08.