1055663 divided by 434 
The aim is to understand the frequency of 434 in 1055663.

Going ahead to step 1:
1 divided by 434 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 434

Going ahead to step 2:
434 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: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 434

Step 3:
434 can be fit into 105 0 times, resulting in a remainder of 105.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 105, we get 105.
Take the next digit (5) from the dividend and append it to 105, then repeat: 1055 / 434

Step 4:
434 goes into 1055 2 times with a remainder of 187.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 187 after subtracting 868 from 1055.
Fetch the next digit (6) from the dividend, attach it to 187 and continue: 1876 / 434

Moving on to step 5:
434 goes into 1876 4 times with a remainder of 140.
Put 4 as the next digit of the answer. 
Result so far: 24.0
Deduct 1736 from 1876 and we're left with 140.
Grab the next digit (6) from the dividend, add it to 140, then carry on: 1406 / 434

On to step 6:
1406 divided by 434 is 3 with a remainder of 104.
The next digit of our result is 3. 
Result so far: 243.0
If we subtract 1302 from 1406, we get 104.
Bring next digit (3) of the dividend behind the 104 and repeat the process: 1043 / 434

Step 7:
434 can be fit into 1043 2 times, resulting in a remainder of 175.
The number 2 becomes the next digit in our result. 
Result so far: 2432.0
If we subtract 868 from 1043, we get 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

Let's proceed to step 8:
1750 divided by 434 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 2432.4
Deduct 1736 from 1750 and we're left with 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 9:
140 divided by 434 is 0 with a remainder of 140.
The next digit of our result is 0. 
Result so far: 2432.4
The remainder is 140 after subtracting 0 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Let's proceed to step 10:
434 goes into 1400 3 times with a remainder of 98.
Put 3 as the next digit of the answer. 
Result so far: 2432.403
Subtracting 1302 from 1400 leaves us with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Moving on to step 11:
If we divide 980 by 434, we get 2 and a remainder of 112.
Put 2 as the next digit of the answer. 
Result so far: 2432.4032
If we take 868 away from 980, we end up with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Advancing to step 12:
1120 divided by 434 is 2 with a remainder of 252.
Put 2 as the next digit of the answer. 
Result so far: 2432.40322
Subtract 868 from 1120 to get 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

After the division, we end up with 2432.40322 and a remainder of 0.000252.