759308 ÷ 6 
We want to divide 759308 by 6.

On to step 1:
The number 6 fits into 7 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 6 from 7 to get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 6

Let's proceed to step 2:
The number 6 fits into 15 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 12 away from 15, we end up with 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 6

Advancing to step 3:
When dividing 39 by 6, we get 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 126.0
If we take 36 away from 39, we end up with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 6

Advancing to step 4:
6 can be fit into 33 5 times, resulting in a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 1265.0
Subtract 30 from 33 to get 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 6

Step 5:
30 divided by 6 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 12655.0
If we take 30 away from 30, we end up with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 6

Moving on to step 6:
6 can be fit into 8 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 126551.0
Deduct 6 from 8 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.

Step 7:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 126551.3
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.

Advancing to step 8:
20 divided by 6 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 126551.33
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 126551.33, and the remainder is 0.002.