We look at the division of 953960 by 6 
We want to divide 953960 by 6.

Advancing to step 1:
If we divide 9 by 6, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 3 after subtracting 6 from 9.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 6

Moving on to step 2:
When dividing 35 by 6, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 5 after subtracting 30 from 35.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 6

Going ahead to step 3:
If we divide 53 by 6, we get 8 and a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 158.0
Subtract 48 from 53 to get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 6

Advancing to step 4:
59 divided by 6 is 9 with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 1589.0
If we take 54 away from 59, we end up with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 6

Advancing to step 5:
56 divided by 6 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 15899.0
Subtracting 54 from 56 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 6

Moving on to step 6:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 158993.0
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.

Moving on to step 7:
When dividing 20 by 6, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 158993.3
Subtract 18 from 20 to 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.

Step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 158993.33
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.

After the division, we end up with 158993.33 and a remainder of 0.002.