814142 ÷ 78 
We want to divide 814142 by 78.

Step 1:
8 divided by 78 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 78

Advancing to step 2:
When dividing 81 by 78, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 3 after subtracting 78 from 81.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 78

Let's proceed to step 3:
If we divide 34 by 78, we get 0 and a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 78

On to step 4:
78 can be fit into 341 4 times, resulting in a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Subtract 312 from 341 to get 29.
Take the next digit (4) from the dividend and append it to 29, then repeat: 294 / 78

Let's proceed to step 5:
When dividing 294 by 78, we get 3 with a remainder of 60.
The number 3 becomes the next digit in our result. 
Result so far: 1043.0
Subtract 234 from 294 to get 60.
Take the next digit (2) from the dividend and append it to 60, then repeat: 602 / 78

On to step 6:
If we divide 602 by 78, we get 7 and a remainder of 56.
Use 7 as the next digit of our solution. 
Result so far: 10437.0
Deduct 546 from 602 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
When dividing 560 by 78, we get 7 with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 10437.7
Subtracting 546 from 560 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
The number 78 fits into 140 1 times, leaving a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 10437.71
Subtracting 78 from 140 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 9:
When dividing 620 by 78, we get 7 with a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 10437.717
If we subtract 546 from 620, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 10:
When dividing 740 by 78, we get 9 with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 10437.7179
Deduct 702 from 740 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 11:
380 divided by 78 is 4 with a remainder of 68.
Use 4 as the next digit of our solution. 
Result so far: 10437.71794
If we subtract 312 from 380, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 12:
The number 78 fits into 680 8 times, leaving a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 10437.717948
The remainder is 56 after subtracting 624 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 13:
The number 78 fits into 560 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 10437.7179487
The remainder is 14 after subtracting 546 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 14:
78 goes into 140 1 times with a remainder of 62.
Put 1 as the next digit of the answer. 
Result so far: 10437.71794871
Deduct 78 from 140 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The quotient of the division is 10437.71794871, and the remainder is 6.2e-08.