Let's divide 4627 by 7
Our goal is to divide 4627 by 7.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 7

Going ahead to step 2:
If we divide 46 by 7, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 4 after subtracting 42 from 46.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 7

On to step 3:
When dividing 42 by 7, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we take 42 away from 42, we end up with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 7

Moving on to step 4:
7 can be fit into 7 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 661.0
Deduct 7 from 7 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 5:
The number 7 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 661.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 6:
7 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 661.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 661.0, and the remainder is 0.0.