We look at the division of 674258 by 27 
We're looking to find how many times 27 goes into 674258.

Step 1:
If we divide 6 by 27, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 27

Advancing to step 2:
If we divide 67 by 27, we get 2 and a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 54 from 67 leaves us with 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 27

Step 3:
134 divided by 27 is 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 24.0
If we take 108 away from 134, we end up with 26.
Append the next digit (2) from the dividend to 26 and continue with: 262 / 27

Advancing to step 4:
27 can be fit into 262 9 times, resulting in a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 249.0
Deduct 243 from 262 and we're left with 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 27

Let's proceed to step 5:
27 can be fit into 195 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 2497.0
If we subtract 189 from 195, we get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 27

Moving on to step 6:
If we divide 68 by 27, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 24972.0
If we take 54 away from 68, 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.

Moving on to step 7:
When dividing 140 by 27, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 24972.5
If we take 135 away from 140, we end up 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.

Advancing to step 8:
If we divide 50 by 27, we get 1 and a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 24972.51
Subtract 27 from 50 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
230 divided by 27 is 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 24972.518
The remainder is 14 after subtracting 216 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
140 divided by 27 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 24972.5185
If we take 135 away from 140, we end up 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.

Step 11:
27 can be fit into 50 1 times, resulting in a remainder of 23.
The next digit of our result is 1. 
Result so far: 24972.51851
If we subtract 27 from 50, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 12:
27 goes into 230 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 24972.518518
Deduct 216 from 230 and we're left 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 13:
27 can be fit into 140 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 24972.5185185
Deduct 135 from 140 and we're left 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.

Advancing to step 14:
50 divided by 27 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 24972.51851851
If we subtract 27 from 50, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final result is 24972.51851851 with a remainder of 2.3e-08.