We're dividing 82421042 by 956 
Our goal is to divide 82421042 by 956.

Step 1:
956 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 956

Moving on to step 2:
82 divided by 956 is 0 with a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 82, we end up with 82.
Grab the next digit (4) from the dividend, add it to 82, then carry on: 824 / 956

Step 3:
824 divided by 956 is 0 with a remainder of 824.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 824 after subtracting 0 from 824.
Include the next digit (2) from the dividend after 824, then repeat: 8242 / 956

Let's proceed to step 4:
8242 divided by 956 is 8 with a remainder of 594.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 594 after subtracting 7648 from 8242.
Bring next digit (1) of the dividend behind the 594 and repeat the process: 5941 / 956

On to step 5:
956 goes into 5941 6 times with a remainder of 205.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
Subtracting 5736 from 5941 leaves us with 205.
Append the next digit (0) from the dividend to 205 and continue with: 2050 / 956

Step 6:
When dividing 2050 by 956, we get 2 with a remainder of 138.
Write down 2 as next digit of the result. 
Result so far: 862.0
The remainder is 138 after subtracting 1912 from 2050.
Append the next digit (4) from the dividend to 138 and continue with: 1384 / 956

Step 7:
956 can be fit into 1384 1 times, resulting in a remainder of 428.
The number 1 becomes the next digit in our result. 
Result so far: 8621.0
If we take 956 away from 1384, we end up with 428.
Fetch the next digit (2) from the dividend, attach it to 428 and continue: 4282 / 956

On to step 8:
When dividing 4282 by 956, we get 4 with a remainder of 458.
Use 4 as the next digit of our solution. 
Result so far: 86214.0
The remainder is 458 after subtracting 3824 from 4282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Moving on to step 9:
When dividing 4580 by 956, we get 4 with a remainder of 756.
Record the quotient 4 as the next digit in the result. 
Result so far: 86214.4
If we take 3824 away from 4580, we end up with 756.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7560, and continue the process.

Going ahead to step 10:
956 goes into 7560 7 times with a remainder of 868.
The number 7 becomes the next digit in our result. 
Result so far: 86214.47
If we subtract 6692 from 7560, we get 868.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8680, and continue the process.

Step 11:
956 can be fit into 8680 9 times, resulting in a remainder of 76.
Record the quotient 9 as the next digit in the result. 
Result so far: 86214.479
If we subtract 8604 from 8680, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 12:
When dividing 760 by 956, we get 0 with a remainder of 760.
The next digit of our result is 0. 
Result so far: 86214.479
If we take 0 away from 760, we end up with 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7600, and continue the process.

Step 13:
956 can be fit into 7600 7 times, resulting in a remainder of 908.
Record the quotient 7 as the next digit in the result. 
Result so far: 86214.47907
If we take 6692 away from 7600, we end up with 908.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9080, and continue the process.

On to step 14:
956 can be fit into 9080 9 times, resulting in a remainder of 476.
Use 9 as the next digit of our solution. 
Result so far: 86214.479079
Subtracting 8604 from 9080 leaves us with 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Step 15:
4760 divided by 956 is 4 with a remainder of 936.
The number 4 becomes the next digit in our result. 
Result so far: 86214.4790794
Deduct 3824 from 4760 and we're left with 936.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9360, and continue the process.

On to step 16:
956 goes into 9360 9 times with a remainder of 756.
Put 9 as the next digit of the answer. 
Result so far: 86214.47907949
Deduct 8604 from 9360 and we're left with 756.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7560, and continue the process.

The final result is 86214.47907949 with a remainder of 7.56e-07.