Let's divide 437461 by 35
Our goal is to divide 437461 by 35.

On to step 1:
If we divide 4 by 35, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 35

Step 2:
If we divide 43 by 35, we get 1 and a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 35 from 43 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 35

Let's proceed to step 3:
When dividing 87 by 35, we get 2 with a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 70 from 87 to get 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 35

Let's proceed to step 4:
174 divided by 35 is 4 with a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 124.0
Deduct 140 from 174 and we're left with 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 35

Let's proceed to step 5:
When dividing 346 by 35, we get 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 1249.0
The remainder is 31 after subtracting 315 from 346.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 35

Advancing to step 6:
311 divided by 35 is 8 with a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 12498.0
The remainder is 31 after subtracting 280 from 311.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
The number 35 fits into 310 8 times, leaving a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 12498.8
Deduct 280 from 310 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.

Advancing to step 8:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 12498.88
Deduct 280 from 300 and we're left 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.

After the division, we end up with 12498.88 and a remainder of 0.02.