429103 ÷ 37 
We want to figure out the number of times 429103 can be divided by 37.

Let's proceed to step 1:
When dividing 4 by 37, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 37

Moving on to step 2:
If we divide 42 by 37, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 37 from 42 and we're left with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 37

Moving on to step 3:
If we divide 59 by 37, we get 1 and a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 37 from 59 leaves us with 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 37

Going ahead to step 4:
37 can be fit into 221 5 times, resulting in a remainder of 36.
Use 5 as the next digit of our solution. 
Result so far: 115.0
Deduct 185 from 221 and we're left with 36.
Bring next digit (0) of the dividend behind the 36 and repeat the process: 360 / 37

Going ahead to step 5:
If we divide 360 by 37, we get 9 and a remainder of 27.
The next digit of our result is 9. 
Result so far: 1159.0
Subtracting 333 from 360 leaves us with 27.
Include the next digit (3) from the dividend after 27, then repeat: 273 / 37

On to step 6:
37 can be fit into 273 7 times, resulting in a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 11597.0
Subtract 259 from 273 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
The number 37 fits into 140 3 times, leaving a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 11597.3
If we subtract 111 from 140, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 8:
When dividing 290 by 37, we get 7 with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 11597.37
If we subtract 259 from 290, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 9:
37 goes into 310 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 11597.378
If we subtract 296 from 310, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
37 goes into 140 3 times with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 11597.3783
Subtract 111 from 140 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 11:
If we divide 290 by 37, we get 7 and a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 11597.37837
Subtract 259 from 290 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 12:
37 goes into 310 8 times with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 11597.378378
If we subtract 296 from 310, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
If we divide 140 by 37, we get 3 and a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 11597.3783783
Deduct 111 from 140 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 14:
37 goes into 290 7 times with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 11597.37837837
Subtracting 259 from 290 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 11597.37837837 with a remainder of 3.1e-08.