Let's divide 97438 by 6
We want to figure out the number of times 97438 can be divided by 6.

Advancing to step 1:
9 divided by 6 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 3 after subtracting 6 from 9.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 6

Advancing to step 2:
The number 6 fits into 37 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtracting 36 from 37 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 6

On to step 3:
The number 6 fits into 14 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
If we subtract 12 from 14, we get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 6

Advancing to step 4:
6 can be fit into 23 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 1623.0
The remainder is 5 after subtracting 18 from 23.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 6

Advancing to step 5:
If we divide 58 by 6, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 16239.0
If we take 54 away from 58, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 6:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 16239.6
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 16239.66
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 16239.66, and the remainder is 0.004.