We look at the division of 278626 by 45 
We want to divide 278626 by 45.

Step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 45

Going ahead to step 2:
45 can be fit into 27 0 times, resulting in a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Fetch the next digit (8) from the dividend, attach it to 27 and continue: 278 / 45

Moving on to step 3:
If we divide 278 by 45, we get 6 and a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 270 from 278 and we're left with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 45

Going ahead to step 4:
The number 45 fits into 86 1 times, leaving a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
If we take 45 away from 86, we end up with 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 45

Step 5:
45 goes into 412 9 times with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 619.0
If we take 405 away from 412, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 45

Advancing to step 6:
45 goes into 76 1 times with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 6191.0
If we subtract 45 from 76, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
310 divided by 45 is 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 6191.6
Subtracting 270 from 310 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
45 can be fit into 400 8 times, resulting in a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 6191.68
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
If we divide 400 by 45, we get 8 and a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 6191.688
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 6191.688, and the remainder is 0.004.