412974 ÷ 85 
Our goal is to divide 412974 by 85.

Going ahead to step 1:
85 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 85

On to step 2:
If we divide 41 by 85, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (2) from the dividend and append it to 41, then repeat: 412 / 85

On to step 3:
The number 85 fits into 412 4 times, leaving a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 340 away from 412, we end up with 72.
Include the next digit (9) from the dividend after 72, then repeat: 729 / 85

Going ahead to step 4:
The number 85 fits into 729 8 times, leaving a remainder of 49.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.0
Subtract 680 from 729 to get 49.
Bring next digit (7) of the dividend behind the 49 and repeat the process: 497 / 85

Advancing to step 5:
85 goes into 497 5 times with a remainder of 72.
Put 5 as the next digit of the answer. 
Result so far: 485.0
Deduct 425 from 497 and we're left with 72.
Grab the next digit (4) from the dividend, add it to 72, then carry on: 724 / 85

Advancing to step 6:
85 goes into 724 8 times with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 4858.0
If we subtract 680 from 724, we 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.

On to step 7:
85 goes into 440 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 4858.5
If we subtract 425 from 440, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
The number 85 fits into 150 1 times, leaving a remainder of 65.
Use 1 as the next digit of our solution. 
Result so far: 4858.51
Subtracting 85 from 150 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 9:
85 can be fit into 650 7 times, resulting in a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 4858.517
Subtract 595 from 650 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
85 can be fit into 550 6 times, resulting in a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 4858.5176
The remainder is 40 after subtracting 510 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
85 goes into 400 4 times with a remainder of 60.
The next digit of our result is 4. 
Result so far: 4858.51764
Subtracting 340 from 400 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
85 can be fit into 600 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 4858.517647
Subtract 595 from 600 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
If we divide 50 by 85, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 4858.517647
If we take 0 away from 50, 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.

Step 14:
If we divide 500 by 85, we get 5 and a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 4858.51764705
The remainder is 75 after subtracting 425 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

The final result is 4858.51764705 with a remainder of 7.5e-08.