278105 ÷ 45 
We're looking to find how many times 45 goes into 278105.

Advancing to step 1:
45 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 45

Moving on to step 2:
45 goes into 27 0 times with a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Take the next digit (8) from the dividend and append it to 27, then repeat: 278 / 45

Advancing to step 3:
If we divide 278 by 45, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 270 from 278 leaves us with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 45

On to step 4:
45 can be fit into 81 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
The remainder is 36 after subtracting 45 from 81.
Include the next digit (0) from the dividend after 36, then repeat: 360 / 45

On to step 5:
The number 45 fits into 360 8 times, leaving a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 618.0
The remainder is 0 after subtracting 360 from 360.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 45

Advancing to step 6:
45 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 6180.0
If we take 0 away from 5, 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.

Going ahead to step 7:
The number 45 fits into 50 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 6180.1
If we subtract 45 from 50, 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 8:
45 goes into 50 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 6180.11
If we subtract 45 from 50, 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.

Our division results in 6180.11 with a remaining 0.005.