Let's divide 975983 by 3
We're looking to find how many times 3 goes into 975983.

On to step 1:
3 goes into 9 3 times with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 9 from 9 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Step 2:
7 divided by 3 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Subtract 6 from 7 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 3

Let's proceed to step 3:
3 goes into 15 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 325.0
Deduct 15 from 15 and we're left with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 3

On to step 4:
If we divide 9 by 3, we get 3 and a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3253.0
Deduct 9 from 9 and we're left with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 3

On to step 5:
If we divide 8 by 3, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 32532.0
Subtract 6 from 8 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 3

Let's proceed to step 6:
3 goes into 23 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 325327.0
The remainder is 2 after subtracting 21 from 23.
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 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 325327.6
If we take 18 away from 20, 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.

Step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 325327.66
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.

After the division, we end up with 325327.66 and a remainder of 0.002.