420619 ÷ 35 
We want to divide 420619 by 35.

Step 1:
35 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 35

Step 2:
42 divided by 35 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 35 from 42 to get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 35

Advancing to step 3:
70 divided by 35 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtracting 70 from 70 leaves us with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 35

Let's proceed to step 4:
35 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 120.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 35

On to step 5:
35 can be fit into 61 1 times, resulting in a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1201.0
If we take 35 away from 61, we end up with 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 35

Advancing to step 6:
If we divide 269 by 35, we get 7 and a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 12017.0
Subtracting 245 from 269 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
If we divide 240 by 35, we get 6 and a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 12017.6
Deduct 210 from 240 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
300 divided by 35 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 12017.68
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
When dividing 200 by 35, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 12017.685
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 12017.6857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
When dividing 50 by 35, we get 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 12017.68571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
35 goes into 150 4 times with a remainder of 10.
The next digit of our result is 4. 
Result so far: 12017.685714
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The next digit of our result is 2. 
Result so far: 12017.6857142
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 12017.68571428
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 12017.68571428 with a balance of 2e-08.