523970 ÷ 3 
Our goal is to divide 523970 by 3.

On to step 1:
3 goes into 5 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 3

Step 2:
3 can be fit into 22 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 21 away from 22, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

Moving on to step 3:
13 divided by 3 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 174.0
Subtract 12 from 13 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

On to step 4:
If we divide 19 by 3, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 1746.0
The remainder is 1 after subtracting 18 from 19.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

On to step 5:
When dividing 17 by 3, we get 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 17465.0
The remainder is 2 after subtracting 15 from 17.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 3

Advancing to step 6:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 174656.0
Subtracting 18 from 20 leaves us 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 7:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 174656.6
Subtracting 18 from 20 leaves us 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.

Let's proceed to step 8:
3 goes into 20 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 174656.66
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 final result is 174656.66 with a remainder of 0.002.