71100112 divided by 665 
We want to figure out the number of times 71100112 can be divided by 665.

On to step 1:
7 divided by 665 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.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 665

Advancing to step 2:
The number 665 fits into 71 0 times, leaving a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Bring next digit (1) of the dividend behind the 71 and repeat the process: 711 / 665

Step 3:
665 goes into 711 1 times with a remainder of 46.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 665 from 711 leaves us with 46.
Grab the next digit (0) from the dividend, add it to 46, then carry on: 460 / 665

Let's proceed to step 4:
The number 665 fits into 460 0 times, leaving a remainder of 460.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 460, we get 460.
Grab the next digit (0) from the dividend, add it to 460, then carry on: 4600 / 665

Going ahead to step 5:
665 can be fit into 4600 6 times, resulting in a remainder of 610.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
Deduct 3990 from 4600 and we're left with 610.
Append the next digit (1) from the dividend to 610 and continue with: 6101 / 665

Moving on to step 6:
The number 665 fits into 6101 9 times, leaving a remainder of 116.
Write down 9 as next digit of the result. 
Result so far: 1069.0
If we subtract 5985 from 6101, we get 116.
Bring next digit (1) of the dividend behind the 116 and repeat the process: 1161 / 665

On to step 7:
When dividing 1161 by 665, we get 1 with a remainder of 496.
Record the quotient 1 as the next digit in the result. 
Result so far: 10691.0
The remainder is 496 after subtracting 665 from 1161.
Fetch the next digit (2) from the dividend, attach it to 496 and continue: 4962 / 665

Going ahead to step 8:
4962 divided by 665 is 7 with a remainder of 307.
Use 7 as the next digit of our solution. 
Result so far: 106917.0
Deduct 4655 from 4962 and we're left with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Moving on to step 9:
The number 665 fits into 3070 4 times, leaving a remainder of 410.
Put 4 as the next digit of the answer. 
Result so far: 106917.4
If we take 2660 away from 3070, we end up with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Moving on to step 10:
665 can be fit into 4100 6 times, resulting in a remainder of 110.
Put 6 as the next digit of the answer. 
Result so far: 106917.46
Deduct 3990 from 4100 and we're left with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 11:
1100 divided by 665 is 1 with a remainder of 435.
Write down 1 as next digit of the result. 
Result so far: 106917.461
If we take 665 away from 1100, we end up with 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

Let's proceed to step 12:
4350 divided by 665 is 6 with a remainder of 360.
Use 6 as the next digit of our solution. 
Result so far: 106917.4616
If we take 3990 away from 4350, we end up with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Going ahead to step 13:
665 goes into 3600 5 times with a remainder of 275.
Use 5 as the next digit of our solution. 
Result so far: 106917.46165
If we subtract 3325 from 3600, we get 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Going ahead to step 14:
2750 divided by 665 is 4 with a remainder of 90.
Record the quotient 4 as the next digit in the result. 
Result so far: 106917.461654
If we subtract 2660 from 2750, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 15:
900 divided by 665 is 1 with a remainder of 235.
The number 1 becomes the next digit in our result. 
Result so far: 106917.4616541
Deduct 665 from 900 and we're left with 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

On to step 16:
665 can be fit into 2350 3 times, resulting in a remainder of 355.
Use 3 as the next digit of our solution. 
Result so far: 106917.46165413
Subtracting 1995 from 2350 leaves us with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

In conclusion, the division gives 106917.46165413 with a balance of 3.55e-07.