37338178 divided by 345 
The aim is to understand the frequency of 345 in 37338178.

Going ahead to step 1:
If we divide 3 by 345, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 345

On to step 2:
If we divide 37 by 345, we get 0 and a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 345

Step 3:
When dividing 373 by 345, we get 1 with a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 345 from 373, we get 28.
Include the next digit (3) from the dividend after 28, then repeat: 283 / 345

Going ahead to step 4:
345 can be fit into 283 0 times, resulting in a remainder of 283.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 283 after subtracting 0 from 283.
Append the next digit (8) from the dividend to 283 and continue with: 2838 / 345

Step 5:
345 can be fit into 2838 8 times, resulting in a remainder of 78.
The next digit of our result is 8. 
Result so far: 108.0
Deduct 2760 from 2838 and we're left with 78.
Take the next digit (1) from the dividend and append it to 78, then repeat: 781 / 345

Going ahead to step 6:
781 divided by 345 is 2 with a remainder of 91.
Put 2 as the next digit of the answer. 
Result so far: 1082.0
The remainder is 91 after subtracting 690 from 781.
Fetch the next digit (7) from the dividend, attach it to 91 and continue: 917 / 345

Step 7:
When dividing 917 by 345, we get 2 with a remainder of 227.
The number 2 becomes the next digit in our result. 
Result so far: 10822.0
Subtract 690 from 917 to get 227.
Take the next digit (8) from the dividend and append it to 227, then repeat: 2278 / 345

Going ahead to step 8:
345 can be fit into 2278 6 times, resulting in a remainder of 208.
Put 6 as the next digit of the answer. 
Result so far: 108226.0
The remainder is 208 after subtracting 2070 from 2278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Let's proceed to step 9:
345 can be fit into 2080 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 108226.6
The remainder is 10 after subtracting 2070 from 2080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 345 is 0 with a remainder of 100.
Write down 0 as next digit of the result. 
Result so far: 108226.6
Deduct 0 from 100 and we're left with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

On to step 11:
345 goes into 1000 2 times with a remainder of 310.
The number 2 becomes the next digit in our result. 
Result so far: 108226.602
If we subtract 690 from 1000, we get 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

On to step 12:
3100 divided by 345 is 8 with a remainder of 340.
Write down 8 as next digit of the result. 
Result so far: 108226.6028
The remainder is 340 after subtracting 2760 from 3100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Step 13:
When dividing 3400 by 345, we get 9 with a remainder of 295.
The number 9 becomes the next digit in our result. 
Result so far: 108226.60289
Subtracting 3105 from 3400 leaves us with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Moving on to step 14:
The number 345 fits into 2950 8 times, leaving a remainder of 190.
The number 8 becomes the next digit in our result. 
Result so far: 108226.602898
Subtracting 2760 from 2950 leaves us with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Going ahead to step 15:
345 goes into 1900 5 times with a remainder of 175.
Record the quotient 5 as the next digit in the result. 
Result so far: 108226.6028985
Subtract 1725 from 1900 to 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.

Advancing to step 16:
345 goes into 1750 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 108226.60289855
If we take 1725 away from 1750, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 108226.60289855 and a remainder of 2.5e-08.