We look at the division of 45003 by 47 
Let's see how many times 47 fits into 45003.

Step 1:
The number 47 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 47

Moving on to step 2:
The number 47 fits into 45 0 times, leaving a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 45 after subtracting 0 from 45.
Append the next digit (0) from the dividend to 45 and continue with: 450 / 47

Step 3:
If we divide 450 by 47, we get 9 and a remainder of 27.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 423 from 450 and we're left with 27.
Fetch the next digit (0) from the dividend, attach it to 27 and continue: 270 / 47

Going ahead to step 4:
47 goes into 270 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 95.0
Subtract 235 from 270 to get 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 47

On to step 5:
353 divided by 47 is 7 with a remainder of 24.
The next digit of our result is 7. 
Result so far: 957.0
Subtracting 329 from 353 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 6:
When dividing 240 by 47, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 957.5
Subtracting 235 from 240 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
47 can be fit into 50 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 957.51
If we take 47 away from 50, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
The number 47 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 957.51
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
If we divide 300 by 47, we get 6 and a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 957.5106
Subtract 282 from 300 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
47 can be fit into 180 3 times, resulting in a remainder of 39.
The number 3 becomes the next digit in our result. 
Result so far: 957.51063
Deduct 141 from 180 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 11:
When dividing 390 by 47, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 957.510638
If we take 376 away from 390, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
If we divide 140 by 47, we get 2 and a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 957.5106382
The remainder is 46 after subtracting 94 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 13:
If we divide 460 by 47, we get 9 and a remainder of 37.
The next digit of our result is 9. 
Result so far: 957.51063829
Subtracting 423 from 460 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 957.51063829 with a remainder of 3.7e-08.