We're dividing 71626 by 24 
We want to divide 71626 by 24.

Moving on to step 1:
7 divided by 24 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 24

Moving on to step 2:
The number 24 fits into 71 2 times, leaving a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 23 after subtracting 48 from 71.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 24

Step 3:
The number 24 fits into 236 9 times, leaving a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
The remainder is 20 after subtracting 216 from 236.
Grab the next digit (2) from the dividend, add it to 20, then carry on: 202 / 24

Let's proceed to step 4:
202 divided by 24 is 8 with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 298.0
The remainder is 10 after subtracting 192 from 202.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 24

Moving on to step 5:
24 goes into 106 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 2984.0
Deduct 96 from 106 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 6:
When dividing 100 by 24, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 2984.4
If we subtract 96 from 100, we 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 7:
If we divide 40 by 24, we get 1 and a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 2984.41
If we subtract 24 from 40, we 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.

Let's proceed to step 8:
24 goes into 160 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 2984.416
Subtracting 144 from 160 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
24 can be fit into 160 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 2984.4166
If we subtract 144 from 160, we 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.

The final outcome is 2984.4166, with a leftover of 0.00016.