We're dividing 278417 by 64 
We want to figure out the number of times 278417 can be divided by 64.

Going ahead to step 1:
When dividing 2 by 64, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 64

Moving on to step 2:
The number 64 fits into 27 0 times, leaving a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Bring next digit (8) of the dividend behind the 27 and repeat the process: 278 / 64

Going ahead to step 3:
64 goes into 278 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 256 from 278 to get 22.
Grab the next digit (4) from the dividend, add it to 22, then carry on: 224 / 64

Moving on to step 4:
64 can be fit into 224 3 times, resulting in a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 43.0
The remainder is 32 after subtracting 192 from 224.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 64

Let's proceed to step 5:
The number 64 fits into 321 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 435.0
Deduct 320 from 321 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 64

Let's proceed to step 6:
When dividing 17 by 64, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 4350.0
If we take 0 away from 17, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
64 can be fit into 170 2 times, resulting in a remainder of 42.
The next digit of our result is 2. 
Result so far: 4350.2
If we take 128 away from 170, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
64 goes into 420 6 times with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 4350.26
If we subtract 384 from 420, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
64 can be fit into 360 5 times, resulting in a remainder of 40.
The next digit of our result is 5. 
Result so far: 4350.265
If we subtract 320 from 360, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
If we divide 400 by 64, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 4350.2656
Subtract 384 from 400 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.

Moving on to step 11:
64 goes into 160 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 4350.26562
If we subtract 128 from 160, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
64 can be fit into 320 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 4350.265625
The remainder is 0 after subtracting 320 from 320.
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:
If we divide 0 by 64, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4350.265625
Subtracting 0 from 0 leaves us 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.

Going ahead to step 14:
If we divide 0 by 64, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4350.265625
Subtracting 0 from 0 leaves us 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 4350.265625, and the remainder is 0.0.