96637 ÷ 37 
We're looking to find how many times 37 goes into 96637.

Going ahead to step 1:
37 can be fit into 9 0 times, resulting in a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 37

Advancing to step 2:
The number 37 fits into 96 2 times, leaving a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 74 from 96, we get 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 37

Moving on to step 3:
When dividing 226 by 37, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 26.0
Subtract 222 from 226 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 37

Let's proceed to step 4:
The number 37 fits into 43 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 261.0
If we take 37 away from 43, we end up with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 37

On to step 5:
37 can be fit into 67 1 times, resulting in a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 2611.0
Subtract 37 from 67 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.

On to step 6:
37 goes into 300 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 2611.8
Subtract 296 from 300 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
37 can be fit into 40 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 2611.81
Deduct 37 from 40 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 2611.81
Subtract 0 from 30 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 9:
300 divided by 37 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2611.8108
If we subtract 296 from 300, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
37 goes into 40 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 2611.81081
Deduct 37 from 40 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
37 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 2611.81081
If we take 0 away from 30, 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.

Let's proceed to step 12:
300 divided by 37 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 2611.8108108
If we take 296 away from 300, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
37 can be fit into 40 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 2611.81081081
Subtract 37 from 40 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 2611.81081081 with a remaining 3e-09.