278372 ÷ 256 
We're looking to find how many times 256 goes into 278372.

On to step 1:
The number 256 fits into 2 0 times, leaving 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.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 256

Going ahead to step 2:
256 can be fit into 27 0 times, resulting in a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 256

On to step 3:
If we divide 278 by 256, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 256 away from 278, we end up with 22.
Take the next digit (3) from the dividend and append it to 22, then repeat: 223 / 256

Step 4:
If we divide 223 by 256, we get 0 and a remainder of 223.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 223 and we're left with 223.
Include the next digit (7) from the dividend after 223, then repeat: 2237 / 256

Advancing to step 5:
256 goes into 2237 8 times with a remainder of 189.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
If we take 2048 away from 2237, we end up with 189.
Grab the next digit (2) from the dividend, add it to 189, then carry on: 1892 / 256

Let's proceed to step 6:
256 can be fit into 1892 7 times, resulting in a remainder of 100.
The number 7 becomes the next digit in our result. 
Result so far: 1087.0
The remainder is 100 after subtracting 1792 from 1892.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

On to step 7:
1000 divided by 256 is 3 with a remainder of 232.
Use 3 as the next digit of our solution. 
Result so far: 1087.3
Subtracting 768 from 1000 leaves us with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Advancing to step 8:
2320 divided by 256 is 9 with a remainder of 16.
The next digit of our result is 9. 
Result so far: 1087.39
Subtract 2304 from 2320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
When dividing 160 by 256, we get 0 with a remainder of 160.
Use 0 as the next digit of our solution. 
Result so far: 1087.39
If we take 0 away from 160, we end up with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Step 10:
If we divide 1600 by 256, we get 6 and a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 1087.3906
Subtracting 1536 from 1600 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
If we divide 640 by 256, we get 2 and a remainder of 128.
Write down 2 as next digit of the result. 
Result so far: 1087.39062
If we subtract 512 from 640, we get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Going ahead to step 12:
The number 256 fits into 1280 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1087.390625
The remainder is 0 after subtracting 1280 from 1280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 13:
The number 256 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 1087.390625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 14:
256 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1087.390625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 1087.390625, and the remainder is 0.0.