We divide 416903 by 37
Our goal is to divide 416903 by 37.

Going ahead to step 1:
If we divide 4 by 37, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 37

Moving on to step 2:
37 can be fit into 41 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 4 after subtracting 37 from 41.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 37

Moving on to step 3:
37 can be fit into 46 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 37 from 46 to get 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 37

Let's proceed to step 4:
37 goes into 99 2 times with a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 112.0
Deduct 74 from 99 and we're left with 25.
Append the next digit (0) from the dividend to 25 and continue with: 250 / 37

Going ahead to step 5:
37 goes into 250 6 times with a remainder of 28.
The next digit of our result is 6. 
Result so far: 1126.0
Subtract 222 from 250 to get 28.
Grab the next digit (3) from the dividend, add it to 28, then carry on: 283 / 37

Moving on to step 6:
37 can be fit into 283 7 times, resulting in a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 11267.0
The remainder is 24 after subtracting 259 from 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
37 can be fit into 240 6 times, resulting in a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 11267.6
Deduct 222 from 240 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
The number 37 fits into 180 4 times, leaving a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 11267.64
The remainder is 32 after subtracting 148 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
If we divide 320 by 37, we get 8 and a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 11267.648
Subtract 296 from 320 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
37 goes into 240 6 times with a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 11267.6486
If we subtract 222 from 240, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
37 can be fit into 180 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 11267.64864
The remainder is 32 after subtracting 148 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
The number 37 fits into 320 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 11267.648648
If we subtract 296 from 320, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 13:
When dividing 240 by 37, we get 6 with a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 11267.6486486
If we take 222 away from 240, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 14:
37 can be fit into 180 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 11267.64864864
The remainder is 32 after subtracting 148 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 11267.64864864 with a balance of 3.2e-08.