We're dividing 554946 by 35 
We're looking to find how many times 35 goes into 554946.

Going ahead to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 35

Step 2:
35 goes into 55 1 times with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 35 from 55 to get 20.
Append the next digit (4) from the dividend to 20 and continue with: 204 / 35

Advancing to step 3:
When dividing 204 by 35, we get 5 with a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 175 from 204 to get 29.
Grab the next digit (9) from the dividend, add it to 29, then carry on: 299 / 35

On to step 4:
299 divided by 35 is 8 with a remainder of 19.
The next digit of our result is 8. 
Result so far: 158.0
If we subtract 280 from 299, we get 19.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 35

Advancing to step 5:
194 divided by 35 is 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 1585.0
Subtracting 175 from 194 leaves us with 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 35

Advancing to step 6:
The number 35 fits into 196 5 times, leaving a remainder of 21.
The next digit of our result is 5. 
Result so far: 15855.0
If we subtract 175 from 196, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
The number 35 fits into 210 6 times, leaving a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 15855.6
Subtracting 210 from 210 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
When dividing 0 by 35, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 15855.6
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
0 divided by 35 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 15855.6
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 15855.6 with a remainder of 0.0.