We're dividing 470558 by 35 
Our goal is to divide 470558 by 35.

Step 1:
The number 35 fits into 4 0 times, leaving 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.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 35

Step 2:
When dividing 47 by 35, we get 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 12 after subtracting 35 from 47.
Include the next digit (0) from the dividend after 12, then repeat: 120 / 35

Step 3:
The number 35 fits into 120 3 times, leaving a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 105 from 120 leaves us with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 35

Step 4:
155 divided by 35 is 4 with a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 134.0
Deduct 140 from 155 and we're left with 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 35

Let's proceed to step 5:
If we divide 155 by 35, we get 4 and a remainder of 15.
Record the quotient 4 as the next digit in the result. 
Result so far: 1344.0
If we subtract 140 from 155, we get 15.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 35

Let's proceed to step 6:
The number 35 fits into 158 4 times, leaving a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 13444.0
The remainder is 18 after subtracting 140 from 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
When dividing 180 by 35, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 13444.5
Subtract 175 from 180 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.

Step 8:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 13444.51
Deduct 35 from 50 and we're left 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.

Going ahead to step 9:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 13444.514
If we take 140 away from 150, we end up 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.

Step 10:
If we divide 100 by 35, we get 2 and a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 13444.5142
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.

Moving on to step 11:
If we divide 300 by 35, we get 8 and a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 13444.51428
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 12:
If we divide 200 by 35, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 13444.514285
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.

Let's proceed to step 13:
250 divided by 35 is 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 13444.5142857
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 14:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The next digit of our result is 1. 
Result so far: 13444.51428571
Deduct 35 from 50 and we're left 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.

The quotient of the division is 13444.51428571, and the remainder is 1.5e-08.