71114260 ÷ 641 
We want to figure out the number of times 71114260 can be divided by 641.

Let's proceed to step 1:
641 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 641

Step 2:
The number 641 fits into 71 0 times, leaving a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Include the next digit (1) from the dividend after 71, then repeat: 711 / 641

On to step 3:
The number 641 fits into 711 1 times, leaving a remainder of 70.
The next digit of our result is 1. 
Result so far: 1.0
If we take 641 away from 711, we end up with 70.
Take the next digit (1) from the dividend and append it to 70, then repeat: 701 / 641

Moving on to step 4:
The number 641 fits into 701 1 times, leaving a remainder of 60.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 641 from 701, we get 60.
Bring next digit (4) of the dividend behind the 60 and repeat the process: 604 / 641

Advancing to step 5:
When dividing 604 by 641, we get 0 with a remainder of 604.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
Subtract 0 from 604 to get 604.
Take the next digit (2) from the dividend and append it to 604, then repeat: 6042 / 641

Step 6:
If we divide 6042 by 641, we get 9 and a remainder of 273.
Write down 9 as next digit of the result. 
Result so far: 1109.0
The remainder is 273 after subtracting 5769 from 6042.
Append the next digit (6) from the dividend to 273 and continue with: 2736 / 641

Moving on to step 7:
2736 divided by 641 is 4 with a remainder of 172.
The next digit of our result is 4. 
Result so far: 11094.0
Deduct 2564 from 2736 and we're left with 172.
Fetch the next digit (0) from the dividend, attach it to 172 and continue: 1720 / 641

On to step 8:
The number 641 fits into 1720 2 times, leaving a remainder of 438.
The number 2 becomes the next digit in our result. 
Result so far: 110942.0
If we take 1282 away from 1720, we end up with 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

Let's proceed to step 9:
641 goes into 4380 6 times with a remainder of 534.
Record the quotient 6 as the next digit in the result. 
Result so far: 110942.6
Subtracting 3846 from 4380 leaves us with 534.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

On to step 10:
The number 641 fits into 5340 8 times, leaving a remainder of 212.
Use 8 as the next digit of our solution. 
Result so far: 110942.68
The remainder is 212 after subtracting 5128 from 5340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Advancing to step 11:
The number 641 fits into 2120 3 times, leaving a remainder of 197.
Record the quotient 3 as the next digit in the result. 
Result so far: 110942.683
Subtracting 1923 from 2120 leaves us with 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Let's proceed to step 12:
641 can be fit into 1970 3 times, resulting in a remainder of 47.
The next digit of our result is 3. 
Result so far: 110942.6833
Subtract 1923 from 1970 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

After the division, we end up with 110942.6833 and a remainder of 0.00047.