We're dividing 814172 by 78 
We want to figure out the number of times 814172 can be divided by 78.

Step 1:
When dividing 8 by 78, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 78

On to step 2:
The number 78 fits into 81 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 78 away from 81, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 78

Advancing to step 3:
78 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 34 and we're left with 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 78

Step 4:
When dividing 341 by 78, we get 4 with a remainder of 29.
Use 4 as the next digit of our solution. 
Result so far: 104.0
The remainder is 29 after subtracting 312 from 341.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 78

Advancing to step 5:
78 goes into 297 3 times with a remainder of 63.
Put 3 as the next digit of the answer. 
Result so far: 1043.0
Subtract 234 from 297 to get 63.
Bring next digit (2) of the dividend behind the 63 and repeat the process: 632 / 78

Moving on to step 6:
If we divide 632 by 78, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10438.0
Subtract 624 from 632 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
If we divide 80 by 78, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 10438.1
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
If we divide 20 by 78, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10438.1
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
The number 78 fits into 200 2 times, leaving a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 10438.102
Subtract 156 from 200 to get 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 10:
If we divide 440 by 78, we get 5 and a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 10438.1025
If we take 390 away from 440, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 11:
The number 78 fits into 500 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 10438.10256
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
If we divide 320 by 78, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 10438.102564
Deduct 312 from 320 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
If we divide 80 by 78, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 10438.1025641
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
If we divide 20 by 78, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 10438.1025641
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 10438.1025641, and the remainder is 2e-08.