We're dividing 2659 by 47 
Our goal is to divide 2659 by 47.

Moving on to step 1:
2 divided by 47 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 47

Step 2:
If we divide 26 by 47, we get 0 and a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Bring next digit (5) of the dividend behind the 26 and repeat the process: 265 / 47

Advancing to step 3:
When dividing 265 by 47, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 235 from 265 leaves us with 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 47

Moving on to step 4:
When dividing 309 by 47, we get 6 with a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we take 282 away from 309, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 5:
47 goes into 270 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 56.5
The remainder is 35 after subtracting 235 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 6:
350 divided by 47 is 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 56.57
Deduct 329 from 350 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
47 can be fit into 210 4 times, resulting in a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 56.574
Subtract 188 from 210 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
47 can be fit into 220 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 56.5744
Subtract 188 from 220 to 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.

The quotient of the division is 56.5744, and the remainder is 0.00032.