We look at the division of 10346832 by 678 
We want to divide 10346832 by 678.

Advancing to step 1:
The number 678 fits into 1 0 times, leaving 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 678

On to step 2:
The number 678 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 678

Let's proceed to step 3:
103 divided by 678 is 0 with a remainder of 103.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 103, we end up with 103.
Fetch the next digit (4) from the dividend, attach it to 103 and continue: 1034 / 678

On to step 4:
1034 divided by 678 is 1 with a remainder of 356.
The next digit of our result is 1. 
Result so far: 1.0
If we take 678 away from 1034, we end up with 356.
Grab the next digit (6) from the dividend, add it to 356, then carry on: 3566 / 678

Step 5:
If we divide 3566 by 678, we get 5 and a remainder of 176.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 176 after subtracting 3390 from 3566.
Grab the next digit (8) from the dividend, add it to 176, then carry on: 1768 / 678

Moving on to step 6:
678 goes into 1768 2 times with a remainder of 412.
The number 2 becomes the next digit in our result. 
Result so far: 152.0
Deduct 1356 from 1768 and we're left with 412.
Include the next digit (3) from the dividend after 412, then repeat: 4123 / 678

On to step 7:
When dividing 4123 by 678, we get 6 with a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 1526.0
If we take 4068 away from 4123, we end up with 55.
Include the next digit (2) from the dividend after 55, then repeat: 552 / 678

On to step 8:
The number 678 fits into 552 0 times, leaving a remainder of 552.
Record the quotient 0 as the next digit in the result. 
Result so far: 15260.0
If we take 0 away from 552, we end up with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Moving on to step 9:
678 can be fit into 5520 8 times, resulting in a remainder of 96.
The next digit of our result is 8. 
Result so far: 15260.8
If we take 5424 away from 5520, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Going ahead to step 10:
960 divided by 678 is 1 with a remainder of 282.
Put 1 as the next digit of the answer. 
Result so far: 15260.81
If we take 678 away from 960, we end up with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Advancing to step 11:
If we divide 2820 by 678, we get 4 and a remainder of 108.
Use 4 as the next digit of our solution. 
Result so far: 15260.814
The remainder is 108 after subtracting 2712 from 2820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Let's proceed to step 12:
1080 divided by 678 is 1 with a remainder of 402.
Put 1 as the next digit of the answer. 
Result so far: 15260.8141
The remainder is 402 after subtracting 678 from 1080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Let's proceed to step 13:
678 can be fit into 4020 5 times, resulting in a remainder of 630.
The number 5 becomes the next digit in our result. 
Result so far: 15260.81415
If we take 3390 away from 4020, we end up with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Step 14:
678 can be fit into 6300 9 times, resulting in a remainder of 198.
Record the quotient 9 as the next digit in the result. 
Result so far: 15260.814159
If we subtract 6102 from 6300, we get 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

On to step 15:
If we divide 1980 by 678, we get 2 and a remainder of 624.
The number 2 becomes the next digit in our result. 
Result so far: 15260.8141592
Subtracting 1356 from 1980 leaves us with 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

Moving on to step 16:
If we divide 6240 by 678, we get 9 and a remainder of 138.
Write down 9 as next digit of the result. 
Result so far: 15260.81415929
If we subtract 6102 from 6240, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

After the division, we end up with 15260.81415929 and a remainder of 1.38e-07.