Let's divide 13175782 by 678
Our goal is to divide 13175782 by 678.

Moving on to step 1:
1 divided by 678 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 678

On to step 2:
When dividing 13 by 678, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 678

On to step 3:
When dividing 131 by 678, we get 0 with a remainder of 131.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 131, we get 131.
Include the next digit (7) from the dividend after 131, then repeat: 1317 / 678

Advancing to step 4:
The number 678 fits into 1317 1 times, leaving a remainder of 639.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 678 from 1317 leaves us with 639.
Grab the next digit (5) from the dividend, add it to 639, then carry on: 6395 / 678

Advancing to step 5:
If we divide 6395 by 678, we get 9 and a remainder of 293.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtract 6102 from 6395 to get 293.
Include the next digit (7) from the dividend after 293, then repeat: 2937 / 678

Step 6:
If we divide 2937 by 678, we get 4 and a remainder of 225.
Record the quotient 4 as the next digit in the result. 
Result so far: 194.0
Subtract 2712 from 2937 to get 225.
Append the next digit (8) from the dividend to 225 and continue with: 2258 / 678

Step 7:
If we divide 2258 by 678, we get 3 and a remainder of 224.
Write down 3 as next digit of the result. 
Result so far: 1943.0
If we subtract 2034 from 2258, we get 224.
Include the next digit (2) from the dividend after 224, then repeat: 2242 / 678

Let's proceed to step 8:
678 goes into 2242 3 times with a remainder of 208.
Record the quotient 3 as the next digit in the result. 
Result so far: 19433.0
If we subtract 2034 from 2242, we get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Advancing to step 9:
678 can be fit into 2080 3 times, resulting in a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 19433.3
Subtract 2034 from 2080 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
678 goes into 460 0 times with a remainder of 460.
Put 0 as the next digit of the answer. 
Result so far: 19433.3
The remainder is 460 after subtracting 0 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Going ahead to step 11:
When dividing 4600 by 678, we get 6 with a remainder of 532.
The next digit of our result is 6. 
Result so far: 19433.306
If we subtract 4068 from 4600, we get 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Step 12:
When dividing 5320 by 678, we get 7 with a remainder of 574.
Put 7 as the next digit of the answer. 
Result so far: 19433.3067
Subtracting 4746 from 5320 leaves us with 574.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

On to step 13:
If we divide 5740 by 678, we get 8 and a remainder of 316.
Put 8 as the next digit of the answer. 
Result so far: 19433.30678
Deduct 5424 from 5740 and we're left with 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

On to step 14:
3160 divided by 678 is 4 with a remainder of 448.
Record the quotient 4 as the next digit in the result. 
Result so far: 19433.306784
Deduct 2712 from 3160 and we're left with 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Advancing to step 15:
When dividing 4480 by 678, we get 6 with a remainder of 412.
The number 6 becomes the next digit in our result. 
Result so far: 19433.3067846
If we take 4068 away from 4480, we end up with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Advancing to step 16:
678 goes into 4120 6 times with a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 19433.30678466
If we take 4068 away from 4120, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 19433.30678466 with a balance of 5.2e-08.