We're dividing 76303 by 47 
We want to figure out the number of times 76303 can be divided by 47.

On to step 1:
47 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 47

Step 2:
47 can be fit into 76 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 47 away from 76, we end up with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 47

Advancing to step 3:
47 goes into 293 6 times with a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtracting 282 from 293 leaves us with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 47

Step 4:
When dividing 110 by 47, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
If we take 94 away from 110, we end up with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 47

Advancing to step 5:
47 can be fit into 163 3 times, resulting in a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 1623.0
Deduct 141 from 163 and we're left 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.

Let's proceed to step 6:
47 can be fit into 220 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 1623.4
Subtracting 188 from 220 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
47 goes into 320 6 times with a remainder of 38.
The next digit of our result is 6. 
Result so far: 1623.46
The remainder is 38 after subtracting 282 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
47 can be fit into 380 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 1623.468
Subtract 376 from 380 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 47 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 1623.468
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
47 goes into 400 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 1623.46808
Deduct 376 from 400 and we're left 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 11:
The number 47 fits into 240 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1623.468085
The remainder is 5 after subtracting 235 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
50 divided by 47 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1623.4680851
Subtract 47 from 50 to get 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 13:
The number 47 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 1623.4680851
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.

Our division results in 1623.4680851 with a remaining 3e-08.