We divide 678254 by 13
Our goal is to divide 678254 by 13.

Advancing to step 1:
13 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

Advancing to step 2:
If we divide 67 by 13, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 65 from 67, we get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 13

On to step 3:
When dividing 28 by 13, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 52.0
The remainder is 2 after subtracting 26 from 28.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 13

Advancing to step 4:
When dividing 22 by 13, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 521.0
If we subtract 13 from 22, we get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 13

Step 5:
95 divided by 13 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 5217.0
If we take 91 away from 95, we end up with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 13

On to step 6:
13 can be fit into 44 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 52173.0
If we subtract 39 from 44, we 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.

Going ahead to step 7:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 52173.3
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 52173.38
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 52173.384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 52173.3846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
13 goes into 20 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 52173.38461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 52173.384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 52173.3846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 52173.38461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 52173.38461538 with a remaining 6e-09.