301225 ÷ 43 
Our goal is to divide 301225 by 43.

Step 1:
When dividing 3 by 43, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 43

Advancing to step 2:
If we divide 30 by 43, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 43

On to step 3:
When dividing 301 by 43, we get 7 with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 301 from 301 leaves us with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 43

Let's proceed to step 4:
2 divided by 43 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 70.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 43

Let's proceed to step 5:
When dividing 22 by 43, we get 0 with a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 700.0
If we subtract 0 from 22, we get 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 43

Advancing to step 6:
When dividing 225 by 43, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7005.0
If we subtract 215 from 225, we 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.

On to step 7:
If we divide 100 by 43, we get 2 and a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 7005.2
The remainder is 14 after subtracting 86 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
The number 43 fits into 140 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 7005.23
Deduct 129 from 140 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
43 goes into 110 2 times with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 7005.232
If we subtract 86 from 110, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
240 divided by 43 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7005.2325
Subtract 215 from 240 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 11:
If we divide 250 by 43, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 7005.23255
The remainder is 35 after subtracting 215 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 7005.23255 and a remainder of 3.5e-05.