We're dividing 448003 by 35 
We want to figure out the number of times 448003 can be divided by 35.

Advancing to step 1:
The number 35 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 35

Moving on to step 2:
If we divide 44 by 35, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 35 from 44 and we're left with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 35

Let's proceed to step 3:
When dividing 98 by 35, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 28 after subtracting 70 from 98.
Append the next digit (0) from the dividend to 28 and continue with: 280 / 35

Advancing to step 4:
35 goes into 280 8 times with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
Subtract 280 from 280 to get 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 35

On to step 5:
When dividing 0 by 35, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1280.0
Subtracting 0 from 0 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 35

Let's proceed to step 6:
When dividing 3 by 35, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 12800.0
Deduct 0 from 3 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
30 divided by 35 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 12800.0
If we take 0 away from 30, we end up 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 8:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 12800.08
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.

Moving on to step 9:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 12800.085
Subtract 175 from 200 to get 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 goes into 250 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 12800.0857
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.

Advancing to step 11:
35 goes into 50 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 12800.08571
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
35 goes into 150 4 times with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 12800.085714
Subtract 140 from 150 to 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.

Let's proceed to step 13:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 12800.0857142
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.

Moving on to step 14:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 12800.08571428
If we subtract 280 from 300, we 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.

After the division, we end up with 12800.08571428 and a remainder of 2e-08.