81689605 ÷ 71 
Our goal is to divide 81689605 by 71.

Step 1:
When dividing 8 by 71, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 71

Moving on to step 2:
71 can be fit into 81 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 71 from 81 and we're left with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 71

Advancing to step 3:
71 can be fit into 106 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 71 from 106 leaves us with 35.
Include the next digit (8) from the dividend after 35, then repeat: 358 / 71

Let's proceed to step 4:
If we divide 358 by 71, we get 5 and a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 115.0
Subtract 355 from 358 to get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 71

Going ahead to step 5:
The number 71 fits into 39 0 times, leaving a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 1150.0
Subtracting 0 from 39 leaves us with 39.
Append the next digit (6) from the dividend to 39 and continue with: 396 / 71

Step 6:
If we divide 396 by 71, we get 5 and a remainder of 41.
Use 5 as the next digit of our solution. 
Result so far: 11505.0
If we subtract 355 from 396, we get 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 71

Advancing to step 7:
71 goes into 410 5 times with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 115055.0
Deduct 355 from 410 and we're left with 55.
Bring next digit (5) of the dividend behind the 55 and repeat the process: 555 / 71

Let's proceed to step 8:
When dividing 555 by 71, we get 7 with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 1150557.0
If we subtract 497 from 555, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 9:
71 can be fit into 580 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1150557.8
If we subtract 568 from 580, we get 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 10:
71 can be fit into 120 1 times, resulting in a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 1150557.81
If we subtract 71 from 120, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 11:
71 can be fit into 490 6 times, resulting in a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 1150557.816
The remainder is 64 after subtracting 426 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 12:
71 goes into 640 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 1150557.8169
Subtract 639 from 640 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
71 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 1150557.8169
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
When dividing 100 by 71, we get 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 1150557.816901
If we take 71 away from 100, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 15:
When dividing 290 by 71, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1150557.8169014
Subtracting 284 from 290 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 16:
If we divide 60 by 71, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 1150557.8169014
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 1150557.8169014, with a leftover of 6e-08.