703263 ÷ 6 
We want to figure out the number of times 703263 can be divided by 6.

Advancing to step 1:
7 divided by 6 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 6 away from 7, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 6

Moving on to step 2:
The number 6 fits into 10 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 6 from 10 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 6

Let's proceed to step 3:
The number 6 fits into 43 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 117.0
If we subtract 42 from 43, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 4:
12 divided by 6 is 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 1172.0
Deduct 12 from 12 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 6

Moving on to step 5:
6 divided by 6 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 11721.0
Deduct 6 from 6 and we're left with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 6

Step 6:
3 divided by 6 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 117210.0
Deduct 0 from 3 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 6, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 117210.5
Subtract 30 from 30 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
6 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 117210.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
When dividing 0 by 6, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 117210.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 117210.5 with a balance of 0.0.