759874 divided by 6 
We want to divide 759874 by 6.

Advancing to step 1:
6 can be fit into 7 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 1 after subtracting 6 from 7.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 6

Let's proceed to step 2:
6 can be fit into 15 2 times, resulting in a remainder of 3.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 12 from 15, we get 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 6

Let's proceed to step 3:
6 goes into 39 6 times with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 126.0
Subtracting 36 from 39 leaves us with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Moving on to step 4:
If we divide 38 by 6, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 1266.0
Deduct 36 from 38 and we're left with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 6

Step 5:
If we divide 27 by 6, we get 4 and a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 12664.0
If we subtract 24 from 27, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 6

On to step 6:
When dividing 34 by 6, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 126645.0
The remainder is 4 after subtracting 30 from 34.
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 7:
6 goes into 40 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 126645.6
Deduct 36 from 40 and we're left 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.

Moving on to step 8:
6 goes into 40 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 126645.66
If we subtract 36 from 40, 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.

The quotient of the division is 126645.66, and the remainder is 0.004.