Let's divide 974638 by 3
We want to divide 974638 by 3.

On to step 1:
9 divided by 3 is 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 9 from 9 leaves us with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 3

Let's proceed to step 2:
3 goes into 7 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 32.0
Subtract 6 from 7 to get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Let's proceed to step 3:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 324.0
Subtracting 12 from 14 leaves us with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Step 4:
When dividing 26 by 3, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 3248.0
Deduct 24 from 26 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Moving on to step 5:
The number 3 fits into 23 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 32487.0
Subtracting 21 from 23 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Going ahead to step 6:
If we divide 28 by 3, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 324879.0
Subtracting 27 from 28 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.

Advancing to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 324879.3
Deduct 9 from 10 and we're left 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.

On to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 324879.33
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.

The quotient of the division is 324879.33, and the remainder is 0.001.