We're dividing 259430 by 47 
Our goal is to divide 259430 by 47.

Step 1:
If we divide 2 by 47, we get 0 and 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.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 47

Moving on to step 2:
When dividing 25 by 47, we get 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 47

Going ahead to step 3:
47 can be fit into 259 5 times, resulting in a remainder of 24.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 235 away from 259, we end up with 24.
Include the next digit (4) from the dividend after 24, then repeat: 244 / 47

Step 4:
The number 47 fits into 244 5 times, leaving a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we subtract 235 from 244, we get 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 47

Moving on to step 5:
47 goes into 93 1 times with a remainder of 46.
Use 1 as the next digit of our solution. 
Result so far: 551.0
Subtracting 47 from 93 leaves us with 46.
Bring next digit (0) of the dividend behind the 46 and repeat the process: 460 / 47

Going ahead to step 6:
When dividing 460 by 47, we get 9 with a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 5519.0
If we subtract 423 from 460, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
The number 47 fits into 370 7 times, leaving a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 5519.7
Subtracting 329 from 370 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 8:
47 goes into 410 8 times with a remainder of 34.
The next digit of our result is 8. 
Result so far: 5519.78
Subtracting 376 from 410 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
47 goes into 340 7 times with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 5519.787
Subtract 329 from 340 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
47 can be fit into 110 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 5519.7872
If we take 94 away from 110, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
160 divided by 47 is 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 5519.78723
If we take 141 away from 160, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
If we divide 190 by 47, we get 4 and a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 5519.787234
Deduct 188 from 190 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
47 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 5519.787234
Subtracting 0 from 20 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 14:
When dividing 200 by 47, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 5519.78723404
If we subtract 188 from 200, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 5519.78723404, with a leftover of 1.2e-08.