We look at the division of 642766 by 47 
Our goal is to divide 642766 by 47.

Going ahead to step 1:
If we divide 6 by 47, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 47

On to step 2:
When dividing 64 by 47, we get 1 with a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 47 from 64 to get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 47

Moving on to step 3:
47 can be fit into 172 3 times, resulting in a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 141 from 172 leaves us with 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 47

Advancing to step 4:
317 divided by 47 is 6 with a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 136.0
Deduct 282 from 317 and we're left with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 47

Advancing to step 5:
The number 47 fits into 356 7 times, leaving a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 1367.0
Deduct 329 from 356 and we're left with 27.
Include the next digit (6) from the dividend after 27, then repeat: 276 / 47

Going ahead to step 6:
47 goes into 276 5 times with a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 13675.0
Subtracting 235 from 276 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.

Step 7:
When dividing 410 by 47, we get 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 13675.8
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.

On to step 8:
47 can be fit into 340 7 times, resulting in a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 13675.87
If we subtract 329 from 340, we 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.

Moving on to step 9:
The number 47 fits into 110 2 times, leaving a remainder of 16.
The next digit of our result is 2. 
Result so far: 13675.872
Subtract 94 from 110 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 10:
The number 47 fits into 160 3 times, leaving a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 13675.8723
Subtracting 141 from 160 leaves us 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.

Let's proceed to step 11:
If we divide 190 by 47, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 13675.87234
If we subtract 188 from 190, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
The number 47 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 13675.87234
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.

Let's proceed to step 13:
47 goes into 200 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 13675.8723404
Deduct 188 from 200 and we're left 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.

Advancing to step 14:
120 divided by 47 is 2 with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 13675.87234042
Subtract 94 from 120 to 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.

After the division, we end up with 13675.87234042 and a remainder of 2.6e-08.