We divide 753374 by 6
We're looking to find how many times 6 goes into 753374.

On to step 1:
7 divided by 6 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 6 from 7, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Going ahead to step 2:
When dividing 15 by 6, we get 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 12 from 15 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 6

Advancing to step 3:
If we divide 33 by 6, we get 5 and a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 125.0
If we subtract 30 from 33, we get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 6

Step 4:
6 can be fit into 33 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 1255.0
If we take 30 away from 33, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Moving on to step 5:
6 can be fit into 37 6 times, resulting in a remainder of 1.
The next digit of our result is 6. 
Result so far: 12556.0
The remainder is 1 after subtracting 36 from 37.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 6

Let's proceed to step 6:
14 divided by 6 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 125562.0
Deduct 12 from 14 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
6 goes into 20 3 times with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 125562.3
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 6 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 125562.33
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 125562.33 with a remaining 0.002.