We look at the division of 37112 by 9 
Our goal is to divide 37112 by 9.

Step 1:
When dividing 3 by 9, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 9

Step 2:
37 divided by 9 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 1 after subtracting 36 from 37.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 9

Let's proceed to step 3:
If we divide 11 by 9, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 41.0
If we take 9 away from 11, we end up with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 9

Moving on to step 4:
9 goes into 21 2 times with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 412.0
If we subtract 18 from 21, we get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 9

Step 5:
The number 9 fits into 32 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 4123.0
Deduct 27 from 32 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 6:
50 divided by 9 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 4123.5
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
When dividing 50 by 9, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4123.55
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 4123.55, and the remainder is 0.005.