We're dividing 71908764 by 642 
We're looking to find how many times 642 goes into 71908764.

On to step 1:
The number 642 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 642

Advancing to step 2:
The number 642 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.
Take the next digit (9) from the dividend and append it to 71, then repeat: 719 / 642

Moving on to step 3:
642 can be fit into 719 1 times, resulting in a remainder of 77.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 642 from 719 and we're left with 77.
Fetch the next digit (0) from the dividend, attach it to 77 and continue: 770 / 642

Let's proceed to step 4:
770 divided by 642 is 1 with a remainder of 128.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 128 after subtracting 642 from 770.
Take the next digit (8) from the dividend and append it to 128, then repeat: 1288 / 642

Step 5:
642 goes into 1288 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
If we take 1284 away from 1288, we end up with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 642

On to step 6:
642 goes into 47 0 times with a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 1120.0
If we take 0 away from 47, we end up with 47.
Fetch the next digit (6) from the dividend, attach it to 47 and continue: 476 / 642

Advancing to step 7:
If we divide 476 by 642, we get 0 and a remainder of 476.
The number 0 becomes the next digit in our result. 
Result so far: 11200.0
Subtracting 0 from 476 leaves us with 476.
Take the next digit (4) from the dividend and append it to 476, then repeat: 4764 / 642

Step 8:
When dividing 4764 by 642, we get 7 with a remainder of 270.
The next digit of our result is 7. 
Result so far: 112007.0
If we take 4494 away from 4764, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Step 9:
The number 642 fits into 2700 4 times, leaving a remainder of 132.
Record the quotient 4 as the next digit in the result. 
Result so far: 112007.4
Subtracting 2568 from 2700 leaves us 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.

Let's proceed to step 10:
If we divide 1320 by 642, we get 2 and a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 112007.42
Deduct 1284 from 1320 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
642 goes into 360 0 times with a remainder of 360.
Record the quotient 0 as the next digit in the result. 
Result so far: 112007.42
Subtracting 0 from 360 leaves us 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.

Step 12:
642 goes into 3600 5 times with a remainder of 390.
Put 5 as the next digit of the answer. 
Result so far: 112007.4205
If we subtract 3210 from 3600, we get 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Going ahead to step 13:
When dividing 3900 by 642, we get 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 112007.42056
The remainder is 48 after subtracting 3852 from 3900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 14:
642 can be fit into 480 0 times, resulting in a remainder of 480.
Write down 0 as next digit of the result. 
Result so far: 112007.42056
The remainder is 480 after subtracting 0 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

On to step 15:
The number 642 fits into 4800 7 times, leaving a remainder of 306.
The number 7 becomes the next digit in our result. 
Result so far: 112007.4205607
The remainder is 306 after subtracting 4494 from 4800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Going ahead to step 16:
642 can be fit into 3060 4 times, resulting in a remainder of 492.
Record the quotient 4 as the next digit in the result. 
Result so far: 112007.42056074
Subtracting 2568 from 3060 leaves us with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

After the division, we end up with 112007.42056074 and a remainder of 4.92e-07.