Let's divide 278107 by 13
Let's see how many times 13 fits into 278107.

Going ahead to step 1:
13 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 13

Advancing to step 2:
27 divided by 13 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 26 away from 27, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 13

Step 3:
13 can be fit into 18 1 times, resulting in a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 21.0
The remainder is 5 after subtracting 13 from 18.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 13

Advancing to step 4:
13 can be fit into 51 3 times, resulting in a remainder of 12.
The next digit of our result is 3. 
Result so far: 213.0
If we take 39 away from 51, we end up with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 13

Step 5:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 2139.0
If we subtract 117 from 120, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 13

Let's proceed to step 6:
13 goes into 37 2 times with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 21392.0
Subtracting 26 from 37 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.

Going ahead to step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 21392.8
If we take 104 away from 110, we end up 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.

Step 8:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 21392.84
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 21392.846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 21392.8461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 21392.84615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 21392.846153
Subtract 39 from 50 to get 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 13:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 21392.8461538
Subtract 104 from 110 to 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.

On to step 14:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 21392.84615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 21392.84615384 with a balance of 8e-09.