105461 divided by 45 
The aim is to understand the frequency of 45 in 105461.

Moving on to step 1:
45 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 45

Let's proceed to step 2:
The number 45 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 45

Moving on to step 3:
The number 45 fits into 105 2 times, leaving a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 90 away from 105, we end up with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 45

Step 4:
154 divided by 45 is 3 with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
If we take 135 away from 154, we end up with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 45

Moving on to step 5:
45 can be fit into 196 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 234.0
If we take 180 away from 196, we end up with 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 45

Step 6:
45 can be fit into 161 3 times, resulting in a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 2343.0
Subtracting 135 from 161 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
The number 45 fits into 260 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 2343.5
Deduct 225 from 260 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 2343.57
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
45 goes into 350 7 times with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 2343.577
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 2343.577 with a balance of 0.0035.