We're dividing 437345 by 95 
Let's see how many times 95 fits into 437345.

Step 1:
The number 95 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 95

Step 2:
When dividing 43 by 95, we get 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Grab the next digit (7) from the dividend, add it to 43, then carry on: 437 / 95

Let's proceed to step 3:
When dividing 437 by 95, we get 4 with a remainder of 57.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 380 away from 437, we end up with 57.
Include the next digit (3) from the dividend after 57, then repeat: 573 / 95

Step 4:
When dividing 573 by 95, we get 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
If we subtract 570 from 573, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 95

On to step 5:
The number 95 fits into 34 0 times, leaving a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 460.0
Deduct 0 from 34 and we're left with 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 95

Let's proceed to step 6:
The number 95 fits into 345 3 times, leaving a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 4603.0
The remainder is 60 after subtracting 285 from 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 7:
600 divided by 95 is 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 4603.6
If we subtract 570 from 600, we 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 8:
When dividing 300 by 95, we get 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 4603.63
Subtract 285 from 300 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.

Going ahead to step 9:
150 divided by 95 is 1 with a remainder of 55.
The next digit of our result is 1. 
Result so far: 4603.631
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.

Let's proceed to step 10:
The number 95 fits into 550 5 times, leaving a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 4603.6315
If we subtract 475 from 550, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 11:
When dividing 750 by 95, we get 7 with a remainder of 85.
Put 7 as the next digit of the answer. 
Result so far: 4603.63157
If we take 665 away from 750, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Moving on to step 12:
95 goes into 850 8 times with a remainder of 90.
Use 8 as the next digit of our solution. 
Result so far: 4603.631578
Subtract 760 from 850 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 13:
If we divide 900 by 95, we get 9 and a remainder of 45.
Write down 9 as next digit of the result. 
Result so far: 4603.6315789
The remainder is 45 after subtracting 855 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 14:
95 can be fit into 450 4 times, resulting in a remainder of 70.
Use 4 as the next digit of our solution. 
Result so far: 4603.63157894
If we subtract 380 from 450, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

After the division, we end up with 4603.63157894 and a remainder of 7e-08.