Let's divide 145894 by 24
We're looking to find how many times 24 goes into 145894.

On to step 1:
If we divide 1 by 24, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 24

On to step 2:
When dividing 14 by 24, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 24

Let's proceed to step 3:
24 can be fit into 145 6 times, resulting in a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 144 away from 145, we end up with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 24

Moving on to step 4:
18 divided by 24 is 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
Deduct 0 from 18 and we're left with 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 24

Going ahead to step 5:
24 can be fit into 189 7 times, resulting in a remainder of 21.
The next digit of our result is 7. 
Result so far: 607.0
If we take 168 away from 189, we end up with 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 24

Going ahead to step 6:
When dividing 214 by 24, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 6078.0
Subtract 192 from 214 to get 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 7:
If we divide 220 by 24, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 6078.9
Subtract 216 from 220 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.

Going ahead to step 8:
When dividing 40 by 24, we get 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 6078.91
Subtracting 24 from 40 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 goes into 160 6 times with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 6078.916
Subtract 144 from 160 to 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.

Going ahead to step 10:
160 divided by 24 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 6078.9166
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.

Our division results in 6078.9166 with a remaining 0.00016.