We look at the division of 71050109 by 659 
Our goal is to divide 71050109 by 659.

Let's proceed to step 1:
If we divide 7 by 659, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 659

Going ahead to step 2:
71 divided by 659 is 0 with a remainder of 71.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Take the next digit (0) from the dividend and append it to 71, then repeat: 710 / 659

Going ahead to step 3:
659 can be fit into 710 1 times, resulting in a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 659 away from 710, we end up with 51.
Grab the next digit (5) from the dividend, add it to 51, then carry on: 515 / 659

Advancing to step 4:
When dividing 515 by 659, we get 0 with a remainder of 515.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 515 and we're left with 515.
Grab the next digit (0) from the dividend, add it to 515, then carry on: 5150 / 659

Let's proceed to step 5:
The number 659 fits into 5150 7 times, leaving a remainder of 537.
Put 7 as the next digit of the answer. 
Result so far: 107.0
If we take 4613 away from 5150, we end up with 537.
Fetch the next digit (1) from the dividend, attach it to 537 and continue: 5371 / 659

Going ahead to step 6:
659 goes into 5371 8 times with a remainder of 99.
The next digit of our result is 8. 
Result so far: 1078.0
The remainder is 99 after subtracting 5272 from 5371.
Bring next digit (0) of the dividend behind the 99 and repeat the process: 990 / 659

Advancing to step 7:
When dividing 990 by 659, we get 1 with a remainder of 331.
Use 1 as the next digit of our solution. 
Result so far: 10781.0
If we subtract 659 from 990, we get 331.
Take the next digit (9) from the dividend and append it to 331, then repeat: 3319 / 659

Let's proceed to step 8:
659 can be fit into 3319 5 times, resulting in a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 107815.0
Subtract 3295 from 3319 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
659 can be fit into 240 0 times, resulting in a remainder of 240.
The next digit of our result is 0. 
Result so far: 107815.0
If we subtract 0 from 240, we get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Advancing to step 10:
The number 659 fits into 2400 3 times, leaving a remainder of 423.
The next digit of our result is 3. 
Result so far: 107815.03
If we subtract 1977 from 2400, we get 423.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4230, and continue the process.

Moving on to step 11:
4230 divided by 659 is 6 with a remainder of 276.
Write down 6 as next digit of the result. 
Result so far: 107815.036
Subtracting 3954 from 4230 leaves us with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Let's proceed to step 12:
The number 659 fits into 2760 4 times, leaving a remainder of 124.
Use 4 as the next digit of our solution. 
Result so far: 107815.0364
If we take 2636 away from 2760, we end up 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.

Moving on to step 13:
659 can be fit into 1240 1 times, resulting in a remainder of 581.
Record the quotient 1 as the next digit in the result. 
Result so far: 107815.03641
The remainder is 581 after subtracting 659 from 1240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5810, and continue the process.

Going ahead to step 14:
When dividing 5810 by 659, we get 8 with a remainder of 538.
The number 8 becomes the next digit in our result. 
Result so far: 107815.036418
If we subtract 5272 from 5810, we get 538.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5380, and continue the process.

Advancing to step 15:
If we divide 5380 by 659, we get 8 and a remainder of 108.
Write down 8 as next digit of the result. 
Result so far: 107815.0364188
Subtract 5272 from 5380 to get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

In conclusion, the division gives 107815.0364188 with a balance of 1.08e-06.