We look at the division of 702374 by 6 
Our goal is to divide 702374 by 6.

Step 1:
6 can be fit into 7 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 6 from 7 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 6

Step 2:
6 can be fit into 10 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 6 from 10 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 6

Let's proceed to step 3:
6 goes into 42 7 times with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 117.0
The remainder is 0 after subtracting 42 from 42.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 6

Advancing to step 4:
When dividing 3 by 6, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 1170.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 6

Advancing to step 5:
37 divided by 6 is 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 11706.0
The remainder is 1 after subtracting 36 from 37.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 6

Step 6:
The number 6 fits into 14 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 117062.0
If we take 12 away from 14, 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.

On to step 7:
If we divide 20 by 6, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 117062.3
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
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: 117062.33
If we subtract 18 from 20, we 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 117062.33, and the remainder is 0.002.