35116 divided by 37 
We want to divide 35116 by 37.

On to step 1:
When dividing 3 by 37, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 37

Step 2:
35 divided by 37 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 37

Advancing to step 3:
351 divided by 37 is 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 333 from 351 to get 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 37

On to step 4:
When dividing 181 by 37, we get 4 with a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 94.0
Deduct 148 from 181 and we're left with 33.
Take the next digit (6) from the dividend and append it to 33, then repeat: 336 / 37

Let's proceed to step 5:
37 goes into 336 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 949.0
If we take 333 away from 336, 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.

Let's proceed to step 6:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 949.0
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.

Advancing to step 7:
When dividing 300 by 37, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 949.08
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 8:
37 goes into 40 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 949.081
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.

Going ahead to step 9:
The number 37 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 949.081
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.

Moving on to step 10:
37 goes into 300 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 949.08108
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.

Going ahead to step 11:
If we divide 40 by 37, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 949.081081
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.

Going ahead to step 12:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 949.081081
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.

Step 13:
37 goes into 300 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 949.08108108
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.

In conclusion, the division gives 949.08108108 with a balance of 4e-09.