We divide 101896 by 37
We want to figure out the number of times 101896 can be divided by 37.

Let's proceed to step 1:
If we divide 1 by 37, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 37

Let's proceed to step 2:
The number 37 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 37

Moving on to step 3:
101 divided by 37 is 2 with a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 74 away from 101, we end up with 27.
Grab the next digit (8) from the dividend, add it to 27, then carry on: 278 / 37

Going ahead to step 4:
When dividing 278 by 37, we get 7 with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
If we subtract 259 from 278, we get 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 37

Moving on to step 5:
37 goes into 199 5 times with a remainder of 14.
The next digit of our result is 5. 
Result so far: 275.0
Deduct 185 from 199 and we're left with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 37

On to step 6:
146 divided by 37 is 3 with a remainder of 35.
The next digit of our result is 3. 
Result so far: 2753.0
If we take 111 away from 146, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
If we divide 350 by 37, we get 9 and a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 2753.9
The remainder is 17 after subtracting 333 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
37 can be fit into 170 4 times, resulting in a remainder of 22.
The next digit of our result is 4. 
Result so far: 2753.94
The remainder is 22 after subtracting 148 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
37 goes into 220 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 2753.945
The remainder is 35 after subtracting 185 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 10:
37 goes into 350 9 times with a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 2753.9459
If we subtract 333 from 350, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 11:
37 goes into 170 4 times with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 2753.94594
Subtracting 148 from 170 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 37, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 2753.945945
Deduct 185 from 220 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
The number 37 fits into 350 9 times, leaving a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 2753.9459459
If we take 333 away from 350, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 14:
When dividing 170 by 37, we get 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 2753.94594594
Subtracting 148 from 170 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 2753.94594594 with a balance of 2.2e-08.