We look at the division of 371279 by 78 
Our goal is to divide 371279 by 78.

Step 1:
When dividing 3 by 78, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 78

Going ahead to step 2:
The number 78 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 78

Step 3:
If we divide 371 by 78, we get 4 and a remainder of 59.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 312 from 371 leaves us with 59.
Take the next digit (2) from the dividend and append it to 59, then repeat: 592 / 78

On to step 4:
When dividing 592 by 78, we get 7 with a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
The remainder is 46 after subtracting 546 from 592.
Append the next digit (7) from the dividend to 46 and continue with: 467 / 78

Let's proceed to step 5:
78 goes into 467 5 times with a remainder of 77.
Write down 5 as next digit of the result. 
Result so far: 475.0
If we take 390 away from 467, we end up with 77.
Take the next digit (9) from the dividend and append it to 77, then repeat: 779 / 78

On to step 6:
779 divided by 78 is 9 with a remainder of 77.
Write down 9 as next digit of the result. 
Result so far: 4759.0
If we subtract 702 from 779, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 7:
The number 78 fits into 770 9 times, leaving a remainder of 68.
Write down 9 as next digit of the result. 
Result so far: 4759.9
Subtracting 702 from 770 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 8:
78 can be fit into 680 8 times, resulting in a remainder of 56.
The next digit of our result is 8. 
Result so far: 4759.98
If we subtract 624 from 680, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
560 divided by 78 is 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 4759.987
If we subtract 546 from 560, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
140 divided by 78 is 1 with a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 4759.9871
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.

On to step 11:
When dividing 620 by 78, we get 7 with a remainder of 74.
Put 7 as the next digit of the answer. 
Result so far: 4759.98717
The remainder is 74 after subtracting 546 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 12:
When dividing 740 by 78, we get 9 with a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 4759.987179
Subtracting 702 from 740 leaves us 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.

Advancing to step 13:
78 can be fit into 380 4 times, resulting in a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 4759.9871794
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.

Going ahead to step 14:
680 divided by 78 is 8 with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 4759.98717948
Deduct 624 from 680 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.

The quotient of the division is 4759.98717948, and the remainder is 5.6e-08.