We divide 43629 by 95
We want to figure out the number of times 43629 can be divided by 95.

On to step 1:
The number 95 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.
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.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 95

Let's proceed to step 3:
436 divided by 95 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 380 from 436, we get 56.
Grab the next digit (2) from the dividend, add it to 56, then carry on: 562 / 95

Advancing to step 4:
562 divided by 95 is 5 with a remainder of 87.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
If we subtract 475 from 562, we get 87.
Bring next digit (9) of the dividend behind the 87 and repeat the process: 879 / 95

Let's proceed to step 5:
95 can be fit into 879 9 times, resulting in a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 459.0
Deduct 855 from 879 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 6:
95 can be fit into 240 2 times, resulting in a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 459.2
Subtract 190 from 240 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
The number 95 fits into 500 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 459.25
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.

Let's proceed to step 8:
95 goes into 250 2 times with a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 459.252
The remainder is 60 after subtracting 190 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
When dividing 600 by 95, we get 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 459.2526
Deduct 570 from 600 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.

Going ahead to step 10:
If we divide 300 by 95, we get 3 and a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 459.25263
Deduct 285 from 300 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.

Advancing to step 11:
150 divided by 95 is 1 with a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 459.252631
Subtracting 95 from 150 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 12:
550 divided by 95 is 5 with a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 459.2526315
Deduct 475 from 550 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 13:
95 goes into 750 7 times with a remainder of 85.
Put 7 as the next digit of the answer. 
Result so far: 459.25263157
Subtract 665 from 750 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The final outcome is 459.25263157, with a leftover of 8.5e-08.