435880 divided by 95 
We want to divide 435880 by 95.

Step 1:
The number 95 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 95

Advancing to step 2:
When dividing 43 by 95, we get 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Grab the next digit (5) from the dividend, add it to 43, then carry on: 435 / 95

On to step 3:
435 divided by 95 is 4 with a remainder of 55.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 380 away from 435, we end up with 55.
Fetch the next digit (8) from the dividend, attach it to 55 and continue: 558 / 95

Step 4:
If we divide 558 by 95, we get 5 and a remainder of 83.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtract 475 from 558 to get 83.
Grab the next digit (8) from the dividend, add it to 83, then carry on: 838 / 95

Advancing to step 5:
If we divide 838 by 95, we get 8 and a remainder of 78.
The number 8 becomes the next digit in our result. 
Result so far: 458.0
Deduct 760 from 838 and we're left with 78.
Include the next digit (0) from the dividend after 78, then repeat: 780 / 95

Advancing to step 6:
780 divided by 95 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 4588.0
If we subtract 760 from 780, 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.

Moving on to step 7:
When dividing 200 by 95, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 4588.2
Deduct 190 from 200 and we're left 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.

Advancing to step 8:
95 goes into 100 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 4588.21
If we subtract 95 from 100, we 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.

Moving on to step 9:
95 can be fit into 50 0 times, resulting in a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 4588.21
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
When dividing 500 by 95, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 4588.2105
Deduct 475 from 500 and we're left 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.

On to step 11:
The number 95 fits into 250 2 times, leaving a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 4588.21052
If we take 190 away from 250, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
The number 95 fits into 600 6 times, leaving a remainder of 30.
The next digit of our result is 6. 
Result so far: 4588.210526
Subtract 570 from 600 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
95 goes into 300 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 4588.2105263
The remainder is 15 after subtracting 285 from 300.
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 14:
If we divide 150 by 95, we get 1 and a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 4588.21052631
Subtract 95 from 150 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final outcome is 4588.21052631, with a leftover of 5.5e-08.