338962 ÷ 37 
We're looking to find how many times 37 goes into 338962.

Step 1:
37 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 37

Going ahead to step 2:
37 can be fit into 33 0 times, resulting in a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 37

Step 3:
The number 37 fits into 338 9 times, leaving a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 333 from 338 to get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 37

Step 4:
The number 37 fits into 59 1 times, leaving a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
If we take 37 away from 59, we end up with 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 37

Step 5:
When dividing 226 by 37, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 916.0
Subtract 222 from 226 to get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 37

On to step 6:
The number 37 fits into 42 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 9161.0
Deduct 37 from 42 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
When dividing 50 by 37, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 9161.1
Subtract 37 from 50 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
130 divided by 37 is 3 with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 9161.13
If we take 111 away from 130, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
37 goes into 190 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 9161.135
If we subtract 185 from 190, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
37 can be fit into 50 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 9161.1351
Subtract 37 from 50 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 11:
If we divide 130 by 37, we get 3 and a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 9161.13513
Subtracting 111 from 130 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 12:
The number 37 fits into 190 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 9161.135135
Deduct 185 from 190 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
If we divide 50 by 37, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 9161.1351351
The remainder is 13 after subtracting 37 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 14:
37 goes into 130 3 times with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 9161.13513513
Deduct 111 from 130 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 9161.13513513 with a balance of 1.9e-08.