7950 divided by 45 
Let's see how many times 45 fits into 7950.

Going ahead to step 1:
If we divide 7 by 45, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 45

Going ahead to step 2:
When dividing 79 by 45, we get 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 45 away from 79, we end up with 34.
Fetch the next digit (5) from the dividend, attach it to 34 and continue: 345 / 45

Step 3:
345 divided by 45 is 7 with a remainder of 30.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 315 away from 345, we end up with 30.
Fetch the next digit (0) from the dividend, attach it to 30 and continue: 300 / 45

Step 4:
45 can be fit into 300 6 times, resulting in a remainder of 30.
The next digit of our result is 6. 
Result so far: 176.0
Subtract 270 from 300 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.

Let's proceed to step 5:
45 goes into 300 6 times with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 176.6
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 6:
If we divide 300 by 45, we get 6 and a remainder of 30.
The next digit of our result is 6. 
Result so far: 176.66
If we take 270 away from 300, we end up 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.

The final result is 176.66 with a remainder of 0.03.