78345490 ÷ 742 
The aim is to understand the frequency of 742 in 78345490.

Let's proceed to step 1:
When dividing 7 by 742, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 742

Moving on to step 2:
The number 742 fits into 78 0 times, leaving a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Bring next digit (3) of the dividend behind the 78 and repeat the process: 783 / 742

Advancing to step 3:
742 goes into 783 1 times with a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 742 from 783 and we're left with 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 742

Let's proceed to step 4:
742 can be fit into 414 0 times, resulting in a remainder of 414.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 414, we get 414.
Bring next digit (5) of the dividend behind the 414 and repeat the process: 4145 / 742

Let's proceed to step 5:
742 goes into 4145 5 times with a remainder of 435.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 3710 away from 4145, we end up with 435.
Take the next digit (4) from the dividend and append it to 435, then repeat: 4354 / 742

Going ahead to step 6:
The number 742 fits into 4354 5 times, leaving a remainder of 644.
Write down 5 as next digit of the result. 
Result so far: 1055.0
If we subtract 3710 from 4354, we get 644.
Grab the next digit (9) from the dividend, add it to 644, then carry on: 6449 / 742

On to step 7:
742 goes into 6449 8 times with a remainder of 513.
Put 8 as the next digit of the answer. 
Result so far: 10558.0
Subtract 5936 from 6449 to get 513.
Include the next digit (0) from the dividend after 513, then repeat: 5130 / 742

Step 8:
5130 divided by 742 is 6 with a remainder of 678.
The next digit of our result is 6. 
Result so far: 105586.0
If we take 4452 away from 5130, we end up with 678.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6780, and continue the process.

Let's proceed to step 9:
If we divide 6780 by 742, we get 9 and a remainder of 102.
Record the quotient 9 as the next digit in the result. 
Result so far: 105586.9
If we subtract 6678 from 6780, we get 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Step 10:
If we divide 1020 by 742, we get 1 and a remainder of 278.
The next digit of our result is 1. 
Result so far: 105586.91
If we subtract 742 from 1020, we get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Going ahead to step 11:
2780 divided by 742 is 3 with a remainder of 554.
Put 3 as the next digit of the answer. 
Result so far: 105586.913
Subtracting 2226 from 2780 leaves us with 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

Going ahead to step 12:
5540 divided by 742 is 7 with a remainder of 346.
Use 7 as the next digit of our solution. 
Result so far: 105586.9137
If we take 5194 away from 5540, we end up with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Going ahead to step 13:
742 goes into 3460 4 times with a remainder of 492.
The next digit of our result is 4. 
Result so far: 105586.91374
If we subtract 2968 from 3460, we get 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

Advancing to step 14:
When dividing 4920 by 742, we get 6 with a remainder of 468.
Record the quotient 6 as the next digit in the result. 
Result so far: 105586.913746
If we subtract 4452 from 4920, we get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Advancing to step 15:
If we divide 4680 by 742, we get 6 and a remainder of 228.
Put 6 as the next digit of the answer. 
Result so far: 105586.9137466
Subtracting 4452 from 4680 leaves us with 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

After the division, we end up with 105586.9137466 and a remainder of 2.28e-06.