We're dividing 84178072 by 642 
We're looking to find how many times 642 goes into 84178072.

Going ahead to step 1:
When dividing 8 by 642, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 642

Going ahead to step 2:
642 goes into 84 0 times with a remainder of 84.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 84, we end up with 84.
Include the next digit (1) from the dividend after 84, then repeat: 841 / 642

Advancing to step 3:
841 divided by 642 is 1 with a remainder of 199.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 642 away from 841, we end up with 199.
Take the next digit (7) from the dividend and append it to 199, then repeat: 1997 / 642

Going ahead to step 4:
The number 642 fits into 1997 3 times, leaving a remainder of 71.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 71 after subtracting 1926 from 1997.
Include the next digit (8) from the dividend after 71, then repeat: 718 / 642

Moving on to step 5:
718 divided by 642 is 1 with a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 131.0
Deduct 642 from 718 and we're left with 76.
Include the next digit (0) from the dividend after 76, then repeat: 760 / 642

On to step 6:
The number 642 fits into 760 1 times, leaving a remainder of 118.
Use 1 as the next digit of our solution. 
Result so far: 1311.0
The remainder is 118 after subtracting 642 from 760.
Fetch the next digit (7) from the dividend, attach it to 118 and continue: 1187 / 642

On to step 7:
642 can be fit into 1187 1 times, resulting in a remainder of 545.
Record the quotient 1 as the next digit in the result. 
Result so far: 13111.0
If we take 642 away from 1187, we end up with 545.
Grab the next digit (2) from the dividend, add it to 545, then carry on: 5452 / 642

On to step 8:
The number 642 fits into 5452 8 times, leaving a remainder of 316.
The number 8 becomes the next digit in our result. 
Result so far: 131118.0
If we take 5136 away from 5452, we end up with 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Moving on to step 9:
If we divide 3160 by 642, we get 4 and a remainder of 592.
Record the quotient 4 as the next digit in the result. 
Result so far: 131118.4
If we take 2568 away from 3160, we end up with 592.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5920, and continue the process.

On to step 10:
The number 642 fits into 5920 9 times, leaving a remainder of 142.
The next digit of our result is 9. 
Result so far: 131118.49
Deduct 5778 from 5920 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Moving on to step 11:
642 can be fit into 1420 2 times, resulting in a remainder of 136.
Use 2 as the next digit of our solution. 
Result so far: 131118.492
If we take 1284 away from 1420, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Step 12:
If we divide 1360 by 642, we get 2 and a remainder of 76.
The next digit of our result is 2. 
Result so far: 131118.4922
The remainder is 76 after subtracting 1284 from 1360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The quotient of the division is 131118.4922, and the remainder is 0.00076.