We look at the division of 974641 by 27 
We want to figure out the number of times 974641 can be divided by 27.

Advancing to step 1:
27 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 27

Let's proceed to step 2:
If we divide 97 by 27, we get 3 and a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 81 away from 97, we end up with 16.
Fetch the next digit (4) from the dividend, attach it to 16 and continue: 164 / 27

Let's proceed to step 3:
When dividing 164 by 27, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 36.0
If we take 162 away from 164, we end up with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 27

Let's proceed to step 4:
27 goes into 26 0 times with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 360.0
If we subtract 0 from 26, we get 26.
Append the next digit (4) from the dividend to 26 and continue with: 264 / 27

Moving on to step 5:
If we divide 264 by 27, we get 9 and a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 3609.0
Subtracting 243 from 264 leaves us with 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 27

Moving on to step 6:
27 goes into 211 7 times with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 36097.0
Deduct 189 from 211 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.

Moving on to step 7:
If we divide 220 by 27, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 36097.8
The remainder is 4 after subtracting 216 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 27 fits into 40 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 36097.81
If we take 27 away from 40, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
The number 27 fits into 130 4 times, leaving a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 36097.814
If we subtract 108 from 130, we 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.

Step 10:
27 can be fit into 220 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 36097.8148
If we subtract 216 from 220, 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 11:
If we divide 40 by 27, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 36097.81481
The remainder is 13 after subtracting 27 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 12:
27 can be fit into 130 4 times, resulting in a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 36097.814814
If we subtract 108 from 130, we 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.

Moving on to step 13:
220 divided by 27 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 36097.8148148
If we take 216 away from 220, we end up 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.

Advancing to step 14:
40 divided by 27 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 36097.81481481
The remainder is 13 after subtracting 27 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 36097.81481481, with a leftover of 1.3e-08.