We look at the division of 645128 by 435 
Our goal is to divide 645128 by 435.

Let's proceed to step 1:
435 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 435

On to step 2:
When dividing 64 by 435, we get 0 with a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Include the next digit (5) from the dividend after 64, then repeat: 645 / 435

Going ahead to step 3:
645 divided by 435 is 1 with a remainder of 210.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 210 after subtracting 435 from 645.
Take the next digit (1) from the dividend and append it to 210, then repeat: 2101 / 435

Going ahead to step 4:
When dividing 2101 by 435, we get 4 with a remainder of 361.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 1740 from 2101 and we're left with 361.
Bring next digit (2) of the dividend behind the 361 and repeat the process: 3612 / 435

Step 5:
435 can be fit into 3612 8 times, resulting in a remainder of 132.
Put 8 as the next digit of the answer. 
Result so far: 148.0
If we subtract 3480 from 3612, we get 132.
Take the next digit (8) from the dividend and append it to 132, then repeat: 1328 / 435

Let's proceed to step 6:
When dividing 1328 by 435, we get 3 with a remainder of 23.
The next digit of our result is 3. 
Result so far: 1483.0
Subtract 1305 from 1328 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
435 can be fit into 230 0 times, resulting in a remainder of 230.
Write down 0 as next digit of the result. 
Result so far: 1483.0
The remainder is 230 after subtracting 0 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

Advancing to step 8:
If we divide 2300 by 435, we get 5 and a remainder of 125.
Use 5 as the next digit of our solution. 
Result so far: 1483.05
If we take 2175 away from 2300, we end up with 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Moving on to step 9:
435 goes into 1250 2 times with a remainder of 380.
Record the quotient 2 as the next digit in the result. 
Result so far: 1483.052
Subtracting 870 from 1250 leaves us with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Moving on to step 10:
If we divide 3800 by 435, we get 8 and a remainder of 320.
Record the quotient 8 as the next digit in the result. 
Result so far: 1483.0528
Subtract 3480 from 3800 to get 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Step 11:
435 goes into 3200 7 times with a remainder of 155.
Use 7 as the next digit of our solution. 
Result so far: 1483.05287
The remainder is 155 after subtracting 3045 from 3200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

On to step 12:
1550 divided by 435 is 3 with a remainder of 245.
The next digit of our result is 3. 
Result so far: 1483.052873
If we subtract 1305 from 1550, we get 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Going ahead to step 13:
435 can be fit into 2450 5 times, resulting in a remainder of 275.
The number 5 becomes the next digit in our result. 
Result so far: 1483.0528735
The remainder is 275 after subtracting 2175 from 2450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Advancing to step 14:
435 goes into 2750 6 times with a remainder of 140.
Record the quotient 6 as the next digit in the result. 
Result so far: 1483.05287356
Subtracting 2610 from 2750 leaves us with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

The final outcome is 1483.05287356, with a leftover of 1.4e-07.