64418431 ÷ 429 
The aim is to understand the frequency of 429 in 64418431.

On to step 1:
6 divided by 429 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 429

Moving on to step 2:
When dividing 64 by 429, we get 0 with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Take the next digit (4) from the dividend and append it to 64, then repeat: 644 / 429

On to step 3:
The number 429 fits into 644 1 times, leaving a remainder of 215.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 429 from 644 and we're left with 215.
Include the next digit (1) from the dividend after 215, then repeat: 2151 / 429

On to step 4:
2151 divided by 429 is 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Deduct 2145 from 2151 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 429

Step 5:
68 divided by 429 is 0 with a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 150.0
Subtract 0 from 68 to get 68.
Append the next digit (4) from the dividend to 68 and continue with: 684 / 429

Advancing to step 6:
When dividing 684 by 429, we get 1 with a remainder of 255.
Put 1 as the next digit of the answer. 
Result so far: 1501.0
Subtract 429 from 684 to get 255.
Grab the next digit (3) from the dividend, add it to 255, then carry on: 2553 / 429

Let's proceed to step 7:
The number 429 fits into 2553 5 times, leaving a remainder of 408.
Use 5 as the next digit of our solution. 
Result so far: 15015.0
Deduct 2145 from 2553 and we're left with 408.
Fetch the next digit (1) from the dividend, attach it to 408 and continue: 4081 / 429

On to step 8:
4081 divided by 429 is 9 with a remainder of 220.
Record the quotient 9 as the next digit in the result. 
Result so far: 150159.0
Subtracting 3861 from 4081 leaves us with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Advancing to step 9:
429 can be fit into 2200 5 times, resulting in a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 150159.5
Subtracting 2145 from 2200 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 10:
The number 429 fits into 550 1 times, leaving a remainder of 121.
Record the quotient 1 as the next digit in the result. 
Result so far: 150159.51
Deduct 429 from 550 and we're left with 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

Step 11:
429 goes into 1210 2 times with a remainder of 352.
Put 2 as the next digit of the answer. 
Result so far: 150159.512
Subtracting 858 from 1210 leaves us with 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Moving on to step 12:
If we divide 3520 by 429, we get 8 and a remainder of 88.
Put 8 as the next digit of the answer. 
Result so far: 150159.5128
If we take 3432 away from 3520, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 13:
429 can be fit into 880 2 times, resulting in a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 150159.51282
Subtract 858 from 880 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 14:
When dividing 220 by 429, we get 0 with a remainder of 220.
Put 0 as the next digit of the answer. 
Result so far: 150159.51282
Subtract 0 from 220 to get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Let's proceed to step 15:
When dividing 2200 by 429, we get 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 150159.5128205
The remainder is 55 after subtracting 2145 from 2200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 16:
429 goes into 550 1 times with a remainder of 121.
The number 1 becomes the next digit in our result. 
Result so far: 150159.51282051
If we take 429 away from 550, we end up with 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

The quotient of the division is 150159.51282051, and the remainder is 1.21e-07.