353112 ÷ 78 
The aim is to understand the frequency of 78 in 353112.

Step 1:
If we divide 3 by 78, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 78

Moving on to step 2:
35 divided by 78 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 78

Let's proceed to step 3:
When dividing 353 by 78, we get 4 with a remainder of 41.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 312 from 353 and we're left with 41.
Grab the next digit (1) from the dividend, add it to 41, then carry on: 411 / 78

Going ahead to step 4:
78 can be fit into 411 5 times, resulting in a remainder of 21.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtracting 390 from 411 leaves us with 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 78

Advancing to step 5:
The number 78 fits into 211 2 times, leaving a remainder of 55.
The next digit of our result is 2. 
Result so far: 452.0
Deduct 156 from 211 and we're left with 55.
Take the next digit (2) from the dividend and append it to 55, then repeat: 552 / 78

Moving on to step 6:
78 can be fit into 552 7 times, resulting in a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 4527.0
Deduct 546 from 552 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
When dividing 60 by 78, we get 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 4527.0
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
When dividing 600 by 78, we get 7 with a remainder of 54.
Use 7 as the next digit of our solution. 
Result so far: 4527.07
Subtract 546 from 600 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 9:
When dividing 540 by 78, we get 6 with a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 4527.076
Subtracting 468 from 540 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 10:
The number 78 fits into 720 9 times, leaving a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 4527.0769
Subtract 702 from 720 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
The number 78 fits into 180 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 4527.07692
Subtracting 156 from 180 leaves us 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:
78 goes into 240 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 4527.076923
Subtract 234 from 240 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
If we divide 60 by 78, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 4527.076923
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
600 divided by 78 is 7 with a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 4527.07692307
Subtracting 546 from 600 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The quotient of the division is 4527.07692307, and the remainder is 5.4e-08.