Let's divide 32412009 by 678
We want to divide 32412009 by 678.

On to step 1:
If we divide 3 by 678, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 678

Step 2:
678 can be fit into 32 0 times, resulting in a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 32 and we're left with 32.
Append the next digit (4) from the dividend to 32 and continue with: 324 / 678

Going ahead to step 3:
When dividing 324 by 678, we get 0 with a remainder of 324.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 324 and we're left with 324.
Append the next digit (1) from the dividend to 324 and continue with: 3241 / 678

On to step 4:
The number 678 fits into 3241 4 times, leaving a remainder of 529.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 2712 from 3241, we get 529.
Fetch the next digit (2) from the dividend, attach it to 529 and continue: 5292 / 678

Moving on to step 5:
678 goes into 5292 7 times with a remainder of 546.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
If we subtract 4746 from 5292, we get 546.
Append the next digit (0) from the dividend to 546 and continue with: 5460 / 678

On to step 6:
If we divide 5460 by 678, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 478.0
If we take 5424 away from 5460, we end up with 36.
Append the next digit (0) from the dividend to 36 and continue with: 360 / 678

Let's proceed to step 7:
678 goes into 360 0 times with a remainder of 360.
The next digit of our result is 0. 
Result so far: 4780.0
Subtract 0 from 360 to get 360.
Include the next digit (9) from the dividend after 360, then repeat: 3609 / 678

Going ahead to step 8:
The number 678 fits into 3609 5 times, leaving a remainder of 219.
Record the quotient 5 as the next digit in the result. 
Result so far: 47805.0
If we take 3390 away from 3609, we end up with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

Step 9:
2190 divided by 678 is 3 with a remainder of 156.
The number 3 becomes the next digit in our result. 
Result so far: 47805.3
Deduct 2034 from 2190 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Step 10:
678 goes into 1560 2 times with a remainder of 204.
The next digit of our result is 2. 
Result so far: 47805.32
Deduct 1356 from 1560 and we're left with 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

On to step 11:
678 can be fit into 2040 3 times, resulting in a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 47805.323
If we subtract 2034 from 2040, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
When dividing 60 by 678, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 47805.323
Deduct 0 from 60 and we're left 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 13:
678 can be fit into 600 0 times, resulting in a remainder of 600.
Use 0 as the next digit of our solution. 
Result so far: 47805.323
If we take 0 away from 600, we end up with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

In conclusion, the division gives 47805.323 with a balance of 0.0006.