42225 ÷ 35 
Our goal is to divide 42225 by 35.

On to step 1:
When dividing 4 by 35, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 35

Going ahead to step 2:
If we divide 42 by 35, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 35 from 42, we get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 35

Moving on to step 3:
When dividing 72 by 35, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 70 from 72, we get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 35

On to step 4:
35 goes into 22 0 times with a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 120.0
If we subtract 0 from 22, we get 22.
Take the next digit (5) from the dividend and append it to 22, then repeat: 225 / 35

On to step 5:
225 divided by 35 is 6 with a remainder of 15.
The next digit of our result is 6. 
Result so far: 1206.0
If we take 210 away from 225, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 6:
35 goes into 150 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 1206.4
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 1206.42
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
35 goes into 300 8 times with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 1206.428
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.

Step 9:
35 goes into 200 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1206.4285
The remainder is 25 after subtracting 175 from 200.
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:
When dividing 250 by 35, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1206.42857
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 1206.428571
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 12:
150 divided by 35 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 1206.4285714
Deduct 140 from 150 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 1206.42857142
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 1206.42857142 with a balance of 3e-08.