10034888 ÷ 434 
The aim is to understand the frequency of 434 in 10034888.

On to step 1:
When dividing 1 by 434, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 434

Step 2:
10 divided by 434 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 434

Going ahead to step 3:
434 goes into 100 0 times with a remainder of 100.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 100 and we're left with 100.
Append the next digit (3) from the dividend to 100 and continue with: 1003 / 434

Step 4:
1003 divided by 434 is 2 with a remainder of 135.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 868 away from 1003, we end up with 135.
Bring next digit (4) of the dividend behind the 135 and repeat the process: 1354 / 434

Advancing to step 5:
434 goes into 1354 3 times with a remainder of 52.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtract 1302 from 1354 to get 52.
Fetch the next digit (8) from the dividend, attach it to 52 and continue: 528 / 434

On to step 6:
If we divide 528 by 434, we get 1 and a remainder of 94.
Write down 1 as next digit of the result. 
Result so far: 231.0
Deduct 434 from 528 and we're left with 94.
Grab the next digit (8) from the dividend, add it to 94, then carry on: 948 / 434

Step 7:
948 divided by 434 is 2 with a remainder of 80.
Write down 2 as next digit of the result. 
Result so far: 2312.0
Deduct 868 from 948 and we're left with 80.
Grab the next digit (8) from the dividend, add it to 80, then carry on: 808 / 434

Let's proceed to step 8:
434 can be fit into 808 1 times, resulting in a remainder of 374.
Write down 1 as next digit of the result. 
Result so far: 23121.0
Subtracting 434 from 808 leaves us with 374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

Moving on to step 9:
The number 434 fits into 3740 8 times, leaving a remainder of 268.
The number 8 becomes the next digit in our result. 
Result so far: 23121.8
Subtract 3472 from 3740 to get 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

On to step 10:
The number 434 fits into 2680 6 times, leaving a remainder of 76.
Record the quotient 6 as the next digit in the result. 
Result so far: 23121.86
If we take 2604 away from 2680, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 11:
The number 434 fits into 760 1 times, leaving a remainder of 326.
The next digit of our result is 1. 
Result so far: 23121.861
Subtracting 434 from 760 leaves us with 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Going ahead to step 12:
434 goes into 3260 7 times with a remainder of 222.
Write down 7 as next digit of the result. 
Result so far: 23121.8617
Subtracting 3038 from 3260 leaves us with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Let's proceed to step 13:
434 goes into 2220 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 23121.86175
If we subtract 2170 from 2220, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 14:
500 divided by 434 is 1 with a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 23121.861751
Subtracting 434 from 500 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 15:
660 divided by 434 is 1 with a remainder of 226.
The number 1 becomes the next digit in our result. 
Result so far: 23121.8617511
The remainder is 226 after subtracting 434 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

The final result is 23121.8617511 with a remainder of 2.26e-06.