We look at the division of 45415 by 47 
Our goal is to divide 45415 by 47.

Going ahead to step 1:
47 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 47

On to step 2:
47 goes into 45 0 times with a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Take the next digit (4) from the dividend and append it to 45, then repeat: 454 / 47

Moving on to step 3:
When dividing 454 by 47, we get 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 423 from 454 and we're left with 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 47

Step 4:
47 can be fit into 311 6 times, resulting in a remainder of 29.
The next digit of our result is 6. 
Result so far: 96.0
If we take 282 away from 311, we end up with 29.
Fetch the next digit (5) from the dividend, attach it to 29 and continue: 295 / 47

Advancing to step 5:
47 can be fit into 295 6 times, resulting in a remainder of 13.
The next digit of our result is 6. 
Result so far: 966.0
Subtracting 282 from 295 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
47 goes into 130 2 times with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 966.2
If we subtract 94 from 130, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
If we divide 360 by 47, we get 7 and a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 966.27
Deduct 329 from 360 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 8:
47 goes into 310 6 times with a remainder of 28.
The next digit of our result is 6. 
Result so far: 966.276
Deduct 282 from 310 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
If we divide 280 by 47, we get 5 and a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 966.2765
Subtract 235 from 280 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
47 can be fit into 450 9 times, resulting in a remainder of 27.
The next digit of our result is 9. 
Result so far: 966.27659
If we subtract 423 from 450, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
When dividing 270 by 47, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 966.276595
Subtract 235 from 270 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 12:
The number 47 fits into 350 7 times, leaving a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 966.2765957
Subtracting 329 from 350 leaves us 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.

Step 13:
47 can be fit into 210 4 times, resulting in a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 966.27659574
Subtracting 188 from 210 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 966.27659574 with a remaining 2.2e-08.