971038 ÷ 3 
Our goal is to divide 971038 by 3.

Let's proceed to step 1:
When dividing 9 by 3, we get 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 9 away from 9, we end up with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Going ahead to step 2:
3 goes into 7 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 32.0
The remainder is 1 after subtracting 6 from 7.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

On to step 3:
3 goes into 11 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 323.0
Deduct 9 from 11 and we're left with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Let's proceed to step 4:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 3236.0
The remainder is 2 after subtracting 18 from 20.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Advancing to step 5:
3 goes into 23 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 32367.0
Deduct 21 from 23 and we're left with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 3

Moving on to step 6:
If we divide 28 by 3, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 323679.0
If we subtract 27 from 28, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 323679.3
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 323679.33
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 323679.33 with a balance of 0.001.