91689 ÷ 37 
We want to divide 91689 by 37.

Step 1:
When dividing 9 by 37, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 37

Advancing to step 2:
When dividing 91 by 37, we get 2 with a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 17 after subtracting 74 from 91.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 37

On to step 3:
37 can be fit into 176 4 times, resulting in a remainder of 28.
The next digit of our result is 4. 
Result so far: 24.0
Subtracting 148 from 176 leaves us with 28.
Bring next digit (8) of the dividend behind the 28 and repeat the process: 288 / 37

Step 4:
37 can be fit into 288 7 times, resulting in a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 247.0
Deduct 259 from 288 and we're left with 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 37

Step 5:
299 divided by 37 is 8 with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 2478.0
The remainder is 3 after subtracting 296 from 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 6:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 2478.0
Subtracting 0 from 30 leaves us 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 7:
300 divided by 37 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 2478.08
Subtracting 296 from 300 leaves us 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.

Let's proceed to step 8:
When dividing 40 by 37, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 2478.081
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.

Advancing to step 9:
When dividing 30 by 37, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 2478.081
If we subtract 0 from 30, we 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.

Going ahead to step 10:
If we divide 300 by 37, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2478.08108
Deduct 296 from 300 and we're left 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.

Let's proceed to step 11:
40 divided by 37 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 2478.081081
If we take 37 away from 40, we end up 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.

Advancing to step 12:
The number 37 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 2478.081081
If we subtract 0 from 30, we 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.

Advancing to step 13:
37 can be fit into 300 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 2478.08108108
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.

Our division results in 2478.08108108 with a remaining 4e-09.