563954 ÷ 6 
We're looking to find how many times 6 goes into 563954.

Advancing to step 1:
6 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

Let's proceed to step 2:
When dividing 56 by 6, we get 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 54 away from 56, we end up with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 6

Going ahead to step 3:
The number 6 fits into 23 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 93.0
If we take 18 away from 23, we end up with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 6

Going ahead to step 4:
59 divided by 6 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 939.0
Deduct 54 from 59 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 6

Going ahead to step 5:
6 goes into 55 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 9399.0
If we take 54 away from 55, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 6

Step 6:
6 goes into 14 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 93992.0
Subtract 12 from 14 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 7:
If we divide 20 by 6, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 93992.3
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:
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: 93992.33
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 93992.33 and a remainder of 0.002.