We look at the division of 419286 by 35 
We want to figure out the number of times 419286 can be divided by 35.

On to step 1:
35 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 35

Step 2:
The number 35 fits into 41 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 35 from 41 leaves us with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 35

Advancing to step 3:
When dividing 69 by 35, we get 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 35 from 69 and we're left with 34.
Grab the next digit (2) from the dividend, add it to 34, then carry on: 342 / 35

On to step 4:
The number 35 fits into 342 9 times, leaving a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 119.0
Subtracting 315 from 342 leaves us with 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 35

On to step 5:
278 divided by 35 is 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 1197.0
If we take 245 away from 278, we end up with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 35

Moving on to step 6:
When dividing 336 by 35, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 11979.0
Deduct 315 from 336 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
35 can be fit into 210 6 times, resulting in a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 11979.6
If we take 210 away from 210, we end up 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.

Moving on to step 8:
35 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 11979.6
If we take 0 away from 0, we end up 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.

Going ahead to step 9:
The number 35 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 11979.6
Deduct 0 from 0 and we're left 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.

In conclusion, the division gives 11979.6 with a balance of 0.0.