We look at the division of 71095405 by 644 
We want to figure out the number of times 71095405 can be divided by 644.

Step 1:
If we divide 7 by 644, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
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 / 644

Going ahead to step 2:
644 can be fit into 71 0 times, resulting in a remainder of 71.
Use 0 as the next digit of our solution. 
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 / 644

Step 3:
When dividing 710 by 644, we get 1 with a remainder of 66.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 644 from 710 to get 66.
Grab the next digit (9) from the dividend, add it to 66, then carry on: 669 / 644

Let's proceed to step 4:
644 can be fit into 669 1 times, resulting in a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 644 from 669 leaves us with 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 644

Step 5:
644 can be fit into 255 0 times, resulting in a remainder of 255.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
The remainder is 255 after subtracting 0 from 255.
Append the next digit (4) from the dividend to 255 and continue with: 2554 / 644

Moving on to step 6:
If we divide 2554 by 644, we get 3 and a remainder of 622.
Write down 3 as next digit of the result. 
Result so far: 1103.0
If we subtract 1932 from 2554, we get 622.
Bring next digit (0) of the dividend behind the 622 and repeat the process: 6220 / 644

Moving on to step 7:
644 goes into 6220 9 times with a remainder of 424.
The next digit of our result is 9. 
Result so far: 11039.0
Subtract 5796 from 6220 to get 424.
Bring next digit (5) of the dividend behind the 424 and repeat the process: 4245 / 644

Let's proceed to step 8:
When dividing 4245 by 644, we get 6 with a remainder of 381.
The next digit of our result is 6. 
Result so far: 110396.0
If we subtract 3864 from 4245, we get 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3810, and continue the process.

On to step 9:
The number 644 fits into 3810 5 times, leaving a remainder of 590.
Put 5 as the next digit of the answer. 
Result so far: 110396.5
If we take 3220 away from 3810, we end up with 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

Advancing to step 10:
The number 644 fits into 5900 9 times, leaving a remainder of 104.
The number 9 becomes the next digit in our result. 
Result so far: 110396.59
Deduct 5796 from 5900 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

On to step 11:
1040 divided by 644 is 1 with a remainder of 396.
Write down 1 as next digit of the result. 
Result so far: 110396.591
Deduct 644 from 1040 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Going ahead to step 12:
644 can be fit into 3960 6 times, resulting in a remainder of 96.
Write down 6 as next digit of the result. 
Result so far: 110396.5916
Subtract 3864 from 3960 to get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 13:
When dividing 960 by 644, we get 1 with a remainder of 316.
Put 1 as the next digit of the answer. 
Result so far: 110396.59161
The remainder is 316 after subtracting 644 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 14:
When dividing 3160 by 644, we get 4 with a remainder of 584.
The next digit of our result is 4. 
Result so far: 110396.591614
Subtracting 2576 from 3160 leaves us with 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Advancing to step 15:
If we divide 5840 by 644, we get 9 and a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 110396.5916149
Deduct 5796 from 5840 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 16:
When dividing 440 by 644, we get 0 with a remainder of 440.
Put 0 as the next digit of the answer. 
Result so far: 110396.5916149
The remainder is 440 after subtracting 0 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

In conclusion, the division gives 110396.5916149 with a balance of 4.4e-07.