We're dividing 81010005 by 959 
Our goal is to divide 81010005 by 959.

Step 1:
959 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 959

Advancing to step 2:
If we divide 81 by 959, we get 0 and a remainder of 81.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 81 leaves us with 81.
Append the next digit (0) from the dividend to 81 and continue with: 810 / 959

Moving on to step 3:
If we divide 810 by 959, we get 0 and a remainder of 810.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 810 and we're left with 810.
Append the next digit (1) from the dividend to 810 and continue with: 8101 / 959

On to step 4:
959 can be fit into 8101 8 times, resulting in a remainder of 429.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 7672 from 8101 and we're left with 429.
Include the next digit (0) from the dividend after 429, then repeat: 4290 / 959

Advancing to step 5:
The number 959 fits into 4290 4 times, leaving a remainder of 454.
Use 4 as the next digit of our solution. 
Result so far: 84.0
Subtracting 3836 from 4290 leaves us with 454.
Include the next digit (0) from the dividend after 454, then repeat: 4540 / 959

On to step 6:
4540 divided by 959 is 4 with a remainder of 704.
Write down 4 as next digit of the result. 
Result so far: 844.0
If we take 3836 away from 4540, we end up with 704.
Append the next digit (0) from the dividend to 704 and continue with: 7040 / 959

Going ahead to step 7:
The number 959 fits into 7040 7 times, leaving a remainder of 327.
Put 7 as the next digit of the answer. 
Result so far: 8447.0
The remainder is 327 after subtracting 6713 from 7040.
Bring next digit (5) of the dividend behind the 327 and repeat the process: 3275 / 959

On to step 8:
959 goes into 3275 3 times with a remainder of 398.
Use 3 as the next digit of our solution. 
Result so far: 84473.0
If we subtract 2877 from 3275, we get 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Going ahead to step 9:
959 can be fit into 3980 4 times, resulting in a remainder of 144.
The number 4 becomes the next digit in our result. 
Result so far: 84473.4
If we take 3836 away from 3980, we end up with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Going ahead to step 10:
The number 959 fits into 1440 1 times, leaving a remainder of 481.
Record the quotient 1 as the next digit in the result. 
Result so far: 84473.41
Subtract 959 from 1440 to get 481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4810, and continue the process.

Going ahead to step 11:
If we divide 4810 by 959, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 84473.415
Subtract 4795 from 4810 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
If we divide 150 by 959, we get 0 and a remainder of 150.
The next digit of our result is 0. 
Result so far: 84473.415
If we subtract 0 from 150, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Advancing to step 13:
1500 divided by 959 is 1 with a remainder of 541.
Record the quotient 1 as the next digit in the result. 
Result so far: 84473.41501
Subtracting 959 from 1500 leaves us with 541.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5410, and continue the process.

On to step 14:
959 can be fit into 5410 5 times, resulting in a remainder of 615.
Record the quotient 5 as the next digit in the result. 
Result so far: 84473.415015
If we take 4795 away from 5410, we end up with 615.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

Advancing to step 15:
If we divide 6150 by 959, we get 6 and a remainder of 396.
Put 6 as the next digit of the answer. 
Result so far: 84473.4150156
The remainder is 396 after subtracting 5754 from 6150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Going ahead to step 16:
3960 divided by 959 is 4 with a remainder of 124.
Use 4 as the next digit of our solution. 
Result so far: 84473.41501564
Subtracting 3836 from 3960 leaves us with 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

The final result is 84473.41501564 with a remainder of 1.24e-07.