We're dividing 412178 by 74 
We're looking to find how many times 74 goes into 412178.

Step 1:
When dividing 4 by 74, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 74

Advancing to step 2:
When dividing 41 by 74, we get 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 74

On to step 3:
412 divided by 74 is 5 with a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 42 after subtracting 370 from 412.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 74

Let's proceed to step 4:
When dividing 421 by 74, we get 5 with a remainder of 51.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
Deduct 370 from 421 and we're left with 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 74

Step 5:
517 divided by 74 is 6 with a remainder of 73.
The next digit of our result is 6. 
Result so far: 556.0
If we subtract 444 from 517, we get 73.
Take the next digit (8) from the dividend and append it to 73, then repeat: 738 / 74

Moving on to step 6:
When dividing 738 by 74, we get 9 with a remainder of 72.
Use 9 as the next digit of our solution. 
Result so far: 5569.0
Deduct 666 from 738 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 7:
The number 74 fits into 720 9 times, leaving a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 5569.9
If we subtract 666 from 720, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 8:
The number 74 fits into 540 7 times, leaving a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 5569.97
Deduct 518 from 540 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
The number 74 fits into 220 2 times, leaving a remainder of 72.
Write down 2 as next digit of the result. 
Result so far: 5569.972
Subtract 148 from 220 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
The number 74 fits into 720 9 times, leaving a remainder of 54.
Write down 9 as next digit of the result. 
Result so far: 5569.9729
If we subtract 666 from 720, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 11:
540 divided by 74 is 7 with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 5569.97297
Deduct 518 from 540 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
When dividing 220 by 74, we get 2 with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 5569.972972
The remainder is 72 after subtracting 148 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 13:
720 divided by 74 is 9 with a remainder of 54.
The next digit of our result is 9. 
Result so far: 5569.9729729
Subtract 666 from 720 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 14:
If we divide 540 by 74, we get 7 and a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 5569.97297297
Subtract 518 from 540 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 5569.97297297 with a balance of 2.2e-08.