71765984 ÷ 913 
We want to divide 71765984 by 913.

Let's proceed to step 1:
7 divided by 913 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 913

On to step 2:
913 goes into 71 0 times with a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Append the next digit (7) from the dividend to 71 and continue with: 717 / 913

Step 3:
913 can be fit into 717 0 times, resulting in a remainder of 717.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 717, we get 717.
Fetch the next digit (6) from the dividend, attach it to 717 and continue: 7176 / 913

Going ahead to step 4:
The number 913 fits into 7176 7 times, leaving a remainder of 785.
The next digit of our result is 7. 
Result so far: 7.0
If we take 6391 away from 7176, we end up with 785.
Append the next digit (5) from the dividend to 785 and continue with: 7855 / 913

Advancing to step 5:
913 can be fit into 7855 8 times, resulting in a remainder of 551.
The next digit of our result is 8. 
Result so far: 78.0
Subtract 7304 from 7855 to get 551.
Include the next digit (9) from the dividend after 551, then repeat: 5519 / 913

Step 6:
913 can be fit into 5519 6 times, resulting in a remainder of 41.
Record the quotient 6 as the next digit in the result. 
Result so far: 786.0
If we take 5478 away from 5519, we end up with 41.
Grab the next digit (8) from the dividend, add it to 41, then carry on: 418 / 913

Let's proceed to step 7:
418 divided by 913 is 0 with a remainder of 418.
Record the quotient 0 as the next digit in the result. 
Result so far: 7860.0
Subtracting 0 from 418 leaves us with 418.
Take the next digit (4) from the dividend and append it to 418, then repeat: 4184 / 913

Going ahead to step 8:
4184 divided by 913 is 4 with a remainder of 532.
Record the quotient 4 as the next digit in the result. 
Result so far: 78604.0
If we subtract 3652 from 4184, we get 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Let's proceed to step 9:
913 goes into 5320 5 times with a remainder of 755.
Use 5 as the next digit of our solution. 
Result so far: 78604.5
Deduct 4565 from 5320 and we're left with 755.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7550, and continue the process.

Step 10:
913 goes into 7550 8 times with a remainder of 246.
The next digit of our result is 8. 
Result so far: 78604.58
The remainder is 246 after subtracting 7304 from 7550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

On to step 11:
913 can be fit into 2460 2 times, resulting in a remainder of 634.
The next digit of our result is 2. 
Result so far: 78604.582
If we take 1826 away from 2460, we end up with 634.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6340, and continue the process.

Let's proceed to step 12:
If we divide 6340 by 913, we get 6 and a remainder of 862.
The number 6 becomes the next digit in our result. 
Result so far: 78604.5826
If we take 5478 away from 6340, we end up with 862.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8620, and continue the process.

Moving on to step 13:
When dividing 8620 by 913, we get 9 with a remainder of 403.
The next digit of our result is 9. 
Result so far: 78604.58269
Subtract 8217 from 8620 to get 403.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4030, and continue the process.

Going ahead to step 14:
When dividing 4030 by 913, we get 4 with a remainder of 378.
Use 4 as the next digit of our solution. 
Result so far: 78604.582694
The remainder is 378 after subtracting 3652 from 4030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Moving on to step 15:
The number 913 fits into 3780 4 times, leaving a remainder of 128.
Record the quotient 4 as the next digit in the result. 
Result so far: 78604.5826944
If we subtract 3652 from 3780, we get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

In conclusion, the division gives 78604.5826944 with a balance of 1.28e-06.