437437 ÷ 31 
We want to figure out the number of times 437437 can be divided by 31.

Moving on to step 1:
When dividing 4 by 31, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 31

Step 2:
When dividing 43 by 31, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 31 from 43 and we're left with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 31

Advancing to step 3:
When dividing 127 by 31, we get 4 with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Deduct 124 from 127 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 31

On to step 4:
When dividing 34 by 31, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 141.0
If we take 31 away from 34, we end up with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 31

Advancing to step 5:
31 goes into 33 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1411.0
Subtracting 31 from 33 leaves us with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 31

Advancing to step 6:
The number 31 fits into 27 0 times, leaving a remainder of 27.
The next digit of our result is 0. 
Result so far: 14110.0
Subtract 0 from 27 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
270 divided by 31 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 14110.8
Subtracting 248 from 270 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
If we divide 220 by 31, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 14110.87
Deduct 217 from 220 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
31 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 14110.87
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
The number 31 fits into 300 9 times, leaving a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 14110.8709
Subtract 279 from 300 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 11:
When dividing 210 by 31, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 14110.87096
If we take 186 away from 210, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
When dividing 240 by 31, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 14110.870967
Subtracting 217 from 240 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 13:
31 goes into 230 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 14110.8709677
If we take 217 away from 230, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 14110.8709677 with a remainder of 1.3e-07.