We divide 260298 by 47
We're looking to find how many times 47 goes into 260298.

Moving on to step 1:
When dividing 2 by 47, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 47

Let's proceed to step 2:
47 can be fit into 26 0 times, resulting in a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Fetch the next digit (0) from the dividend, attach it to 26 and continue: 260 / 47

On to step 3:
260 divided by 47 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 235 from 260 leaves us with 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 47

Step 4:
252 divided by 47 is 5 with a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we subtract 235 from 252, we get 17.
Fetch the next digit (9) from the dividend, attach it to 17 and continue: 179 / 47

Advancing to step 5:
179 divided by 47 is 3 with a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 553.0
Subtract 141 from 179 to get 38.
Fetch the next digit (8) from the dividend, attach it to 38 and continue: 388 / 47

On to step 6:
388 divided by 47 is 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 5538.0
If we take 376 away from 388, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
When dividing 120 by 47, we get 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 5538.2
If we subtract 94 from 120, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
When dividing 260 by 47, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5538.25
The remainder is 25 after subtracting 235 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
47 can be fit into 250 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5538.255
Deduct 235 from 250 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 5538.255, and the remainder is 0.0015.