71065900 ÷ 829 
We're looking to find how many times 829 goes into 71065900.

Let's proceed to step 1:
829 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 829

Step 2:
829 goes into 71 0 times with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Fetch the next digit (0) from the dividend, attach it to 71 and continue: 710 / 829

Let's proceed to step 3:
The number 829 fits into 710 0 times, leaving a remainder of 710.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 710 and we're left with 710.
Include the next digit (6) from the dividend after 710, then repeat: 7106 / 829

Let's proceed to step 4:
If we divide 7106 by 829, we get 8 and a remainder of 474.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 6632 from 7106 to get 474.
Fetch the next digit (5) from the dividend, attach it to 474 and continue: 4745 / 829

Step 5:
The number 829 fits into 4745 5 times, leaving a remainder of 600.
Put 5 as the next digit of the answer. 
Result so far: 85.0
Subtracting 4145 from 4745 leaves us with 600.
Grab the next digit (9) from the dividend, add it to 600, then carry on: 6009 / 829

Step 6:
6009 divided by 829 is 7 with a remainder of 206.
The next digit of our result is 7. 
Result so far: 857.0
Subtracting 5803 from 6009 leaves us with 206.
Include the next digit (0) from the dividend after 206, then repeat: 2060 / 829

On to step 7:
When dividing 2060 by 829, we get 2 with a remainder of 402.
The next digit of our result is 2. 
Result so far: 8572.0
The remainder is 402 after subtracting 1658 from 2060.
Grab the next digit (0) from the dividend, add it to 402, then carry on: 4020 / 829

Let's proceed to step 8:
If we divide 4020 by 829, we get 4 and a remainder of 704.
Write down 4 as next digit of the result. 
Result so far: 85724.0
If we take 3316 away from 4020, we end up with 704.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7040, and continue the process.

On to step 9:
829 goes into 7040 8 times with a remainder of 408.
Use 8 as the next digit of our solution. 
Result so far: 85724.8
Deduct 6632 from 7040 and we're left with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

On to step 10:
4080 divided by 829 is 4 with a remainder of 764.
Record the quotient 4 as the next digit in the result. 
Result so far: 85724.84
If we subtract 3316 from 4080, we get 764.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7640, and continue the process.

On to step 11:
829 goes into 7640 9 times with a remainder of 179.
Write down 9 as next digit of the result. 
Result so far: 85724.849
If we subtract 7461 from 7640, we get 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1790, and continue the process.

Moving on to step 12:
1790 divided by 829 is 2 with a remainder of 132.
Write down 2 as next digit of the result. 
Result so far: 85724.8492
Deduct 1658 from 1790 and we're left with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Going ahead to step 13:
829 can be fit into 1320 1 times, resulting in a remainder of 491.
Put 1 as the next digit of the answer. 
Result so far: 85724.84921
If we subtract 829 from 1320, we get 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

Let's proceed to step 14:
When dividing 4910 by 829, we get 5 with a remainder of 765.
Record the quotient 5 as the next digit in the result. 
Result so far: 85724.849215
If we take 4145 away from 4910, we end up with 765.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7650, and continue the process.

Let's proceed to step 15:
If we divide 7650 by 829, we get 9 and a remainder of 189.
Use 9 as the next digit of our solution. 
Result so far: 85724.8492159
The remainder is 189 after subtracting 7461 from 7650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

Advancing to step 16:
When dividing 1890 by 829, we get 2 with a remainder of 232.
The next digit of our result is 2. 
Result so far: 85724.84921592
The remainder is 232 after subtracting 1658 from 1890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

After the division, we end up with 85724.84921592 and a remainder of 2.32e-07.