We're dividing 7874678 by 476 
We want to figure out the number of times 7874678 can be divided by 476.

Advancing to step 1:
The number 476 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 476

Let's proceed to step 2:
476 can be fit into 78 0 times, resulting in a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Take the next digit (7) from the dividend and append it to 78, then repeat: 787 / 476

Advancing to step 3:
476 can be fit into 787 1 times, resulting in a remainder of 311.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 476 from 787 and we're left with 311.
Fetch the next digit (4) from the dividend, attach it to 311 and continue: 3114 / 476

Moving on to step 4:
476 can be fit into 3114 6 times, resulting in a remainder of 258.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 2856 from 3114 to get 258.
Append the next digit (6) from the dividend to 258 and continue with: 2586 / 476

Let's proceed to step 5:
476 goes into 2586 5 times with a remainder of 206.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Subtract 2380 from 2586 to get 206.
Take the next digit (7) from the dividend and append it to 206, then repeat: 2067 / 476

Advancing to step 6:
The number 476 fits into 2067 4 times, leaving a remainder of 163.
The number 4 becomes the next digit in our result. 
Result so far: 1654.0
If we take 1904 away from 2067, we end up with 163.
Include the next digit (8) from the dividend after 163, then repeat: 1638 / 476

Advancing to step 7:
476 goes into 1638 3 times with a remainder of 210.
Write down 3 as next digit of the result. 
Result so far: 16543.0
The remainder is 210 after subtracting 1428 from 1638.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Moving on to step 8:
476 can be fit into 2100 4 times, resulting in a remainder of 196.
Put 4 as the next digit of the answer. 
Result so far: 16543.4
Deduct 1904 from 2100 and we're left with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Going ahead to step 9:
1960 divided by 476 is 4 with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 16543.44
The remainder is 56 after subtracting 1904 from 1960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 16543.44 with a remainder of 0.056.