Let's divide 37648 by 9
Our goal is to divide 37648 by 9.

Going ahead to step 1:
3 divided by 9 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 9

Step 2:
When dividing 37 by 9, we get 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 36 away from 37, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Let's proceed to step 3:
9 can be fit into 16 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 41.0
Subtract 9 from 16 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 9

Advancing to step 4:
If we divide 74 by 9, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 418.0
If we take 72 away from 74, we end up with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 9

Going ahead to step 5:
9 goes into 28 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 4183.0
Subtract 27 from 28 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
If we divide 10 by 9, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 4183.1
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
The number 9 fits into 10 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 4183.11
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 4183.11, and the remainder is 0.001.