We look at the division of 465586 by 35 
Our goal is to divide 465586 by 35.

Going ahead to step 1:
When dividing 4 by 35, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 35

Going ahead to step 2:
The number 35 fits into 46 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 35 from 46, we get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 35

Moving on to step 3:
115 divided by 35 is 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 105 from 115 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 35

On to step 4:
When dividing 105 by 35, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 133.0
If we take 105 away from 105, we end up with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 35

Step 5:
The number 35 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 1330.0
If we take 0 away from 8, we end up with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 35

Let's proceed to step 6:
The number 35 fits into 86 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 13302.0
Deduct 70 from 86 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 35, we get 4 and a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 13302.4
Subtract 140 from 160 to get 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 8:
When dividing 200 by 35, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 13302.45
If we take 175 away from 200, we end up 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 9:
When dividing 250 by 35, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 13302.457
If we take 245 away from 250, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
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: 13302.4571
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.

On to step 11:
When dividing 150 by 35, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 13302.45714
Subtracting 140 from 150 leaves us 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.

Going ahead to step 12:
If we divide 100 by 35, we get 2 and a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 13302.457142
Subtracting 70 from 100 leaves us 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.

Moving on to step 13:
When dividing 300 by 35, we get 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 13302.4571428
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.

Let's proceed to step 14:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 13302.45714285
Subtracting 175 from 200 leaves us 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.

In conclusion, the division gives 13302.45714285 with a balance of 2.5e-08.