We look at the division of 959261 by 21 
We want to divide 959261 by 21.

Advancing to step 1:
If we divide 9 by 21, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 21

Going ahead to step 2:
When dividing 95 by 21, we get 4 with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 84 from 95 leaves us with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 21

On to step 3:
119 divided by 21 is 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Deduct 105 from 119 and we're left with 14.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 21

Going ahead to step 4:
The number 21 fits into 142 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 456.0
Subtract 126 from 142 to get 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 21

Moving on to step 5:
21 goes into 166 7 times with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 4567.0
If we take 147 away from 166, we end up with 19.
Fetch the next digit (1) from the dividend, attach it to 19 and continue: 191 / 21

Moving on to step 6:
If we divide 191 by 21, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 45679.0
The remainder is 2 after subtracting 189 from 191.
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 7:
21 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 45679.0
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.

Step 8:
200 divided by 21 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 45679.09
If we take 189 away from 200, we end up 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.

On to step 9:
21 can be fit into 110 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 45679.095
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.

Going ahead to step 10:
21 goes into 50 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 45679.0952
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.

On to step 11:
80 divided by 21 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 45679.09523
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.

Step 12:
21 can be fit into 170 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 45679.095238
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.

Let's proceed to step 13:
If we divide 20 by 21, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 45679.095238
The remainder is 20 after subtracting 0 from 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 14:
200 divided by 21 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 45679.09523809
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.

After the division, we end up with 45679.09523809 and a remainder of 1.1e-08.