We're dividing 278951 by 60 
We're looking to find how many times 60 goes into 278951.

Advancing to step 1:
2 divided by 60 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 60

Moving on to step 2:
If we divide 27 by 60, we get 0 and a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 27 and we're left with 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 60

Moving on to step 3:
If we divide 278 by 60, we get 4 and a remainder of 38.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 240 from 278 leaves us with 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 60

On to step 4:
If we divide 389 by 60, we get 6 and a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 46.0
If we take 360 away from 389, we end up with 29.
Fetch the next digit (5) from the dividend, attach it to 29 and continue: 295 / 60

Step 5:
The number 60 fits into 295 4 times, leaving a remainder of 55.
Write down 4 as next digit of the result. 
Result so far: 464.0
Subtract 240 from 295 to get 55.
Take the next digit (1) from the dividend and append it to 55, then repeat: 551 / 60

Moving on to step 6:
If we divide 551 by 60, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 4649.0
The remainder is 11 after subtracting 540 from 551.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
60 can be fit into 110 1 times, resulting in a remainder of 50.
The number 1 becomes the next digit in our result. 
Result so far: 4649.1
The remainder is 50 after subtracting 60 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
If we divide 500 by 60, we get 8 and a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 4649.18
Subtract 480 from 500 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
60 goes into 200 3 times with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 4649.183
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
When dividing 200 by 60, we get 3 with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 4649.1833
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 4649.1833, and the remainder is 0.0002.