We're dividing 37433841 by 953 
Let's see how many times 953 fits into 37433841.

Going ahead to step 1:
3 divided by 953 is 0 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 (7) from the dividend, add it to 3, then carry on: 37 / 953

Step 2:
37 divided by 953 is 0 with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 953

Moving on to step 3:
374 divided by 953 is 0 with a remainder of 374.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 374 after subtracting 0 from 374.
Take the next digit (3) from the dividend and append it to 374, then repeat: 3743 / 953

On to step 4:
When dividing 3743 by 953, we get 3 with a remainder of 884.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 2859 from 3743 to get 884.
Fetch the next digit (3) from the dividend, attach it to 884 and continue: 8843 / 953

Advancing to step 5:
953 can be fit into 8843 9 times, resulting in a remainder of 266.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Subtracting 8577 from 8843 leaves us with 266.
Include the next digit (8) from the dividend after 266, then repeat: 2668 / 953

Advancing to step 6:
953 goes into 2668 2 times with a remainder of 762.
Put 2 as the next digit of the answer. 
Result so far: 392.0
If we take 1906 away from 2668, we end up with 762.
Bring next digit (4) of the dividend behind the 762 and repeat the process: 7624 / 953

Let's proceed to step 7:
The number 953 fits into 7624 8 times, leaving a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 3928.0
If we subtract 7624 from 7624, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 953

Going ahead to step 8:
953 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 39280.0
If we subtract 0 from 1, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
953 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 39280.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
The number 953 fits into 100 0 times, leaving a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 39280.0
Subtracting 0 from 100 leaves us with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

In conclusion, the division gives 39280.0 with a balance of 0.1.