We're dividing 353136 by 37 
We want to divide 353136 by 37.

Step 1:
If we divide 3 by 37, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 37

On to step 2:
When dividing 35 by 37, we get 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 37

On to step 3:
The number 37 fits into 353 9 times, leaving a remainder of 20.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 333 from 353 and we're left with 20.
Append the next digit (1) from the dividend to 20 and continue with: 201 / 37

Let's proceed to step 4:
37 goes into 201 5 times with a remainder of 16.
The next digit of our result is 5. 
Result so far: 95.0
Subtract 185 from 201 to get 16.
Include the next digit (3) from the dividend after 16, then repeat: 163 / 37

Going ahead to step 5:
37 goes into 163 4 times with a remainder of 15.
Record the quotient 4 as the next digit in the result. 
Result so far: 954.0
The remainder is 15 after subtracting 148 from 163.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 37

On to step 6:
37 can be fit into 156 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 9544.0
Deduct 148 from 156 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
37 goes into 80 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 9544.2
Deduct 74 from 80 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 37, we get 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 9544.21
Subtract 37 from 60 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
37 can be fit into 230 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 9544.216
Subtracting 222 from 230 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
When dividing 80 by 37, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 9544.2162
If we subtract 74 from 80, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
60 divided by 37 is 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 9544.21621
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
37 can be fit into 230 6 times, resulting in a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 9544.216216
Subtracting 222 from 230 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
37 can be fit into 80 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 9544.2162162
If we take 74 away from 80, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
The number 37 fits into 60 1 times, leaving a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 9544.21621621
Deduct 37 from 60 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

In conclusion, the division gives 9544.21621621 with a balance of 2.3e-08.