Let's divide 149674 by 24
We want to figure out the number of times 149674 can be divided by 24.

On to step 1:
The number 24 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 24

Going ahead to step 2:
24 can be fit into 14 0 times, resulting in a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 24

Advancing to step 3:
If we divide 149 by 24, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 144 from 149, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 24

Let's proceed to step 4:
24 goes into 56 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 62.0
Subtracting 48 from 56 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 24

On to step 5:
The number 24 fits into 87 3 times, leaving a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 623.0
Deduct 72 from 87 and we're left with 15.
Grab the next digit (4) from the dividend, add it to 15, then carry on: 154 / 24

Let's proceed to step 6:
24 goes into 154 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6236.0
If we take 144 away from 154, we end up 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.

Advancing to step 7:
If we divide 100 by 24, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 6236.4
Subtracting 96 from 100 leaves us with 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 8:
When dividing 40 by 24, we get 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 6236.41
Deduct 24 from 40 and we're left 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.

Step 9:
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: 6236.416
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.

On to step 10:
If we divide 160 by 24, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 6236.4166
The remainder is 16 after subtracting 144 from 160.
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 result is 6236.4166 with a remainder of 0.00016.