45643 divided by 46 
We want to figure out the number of times 45643 can be divided by 46.

Step 1:
If we divide 4 by 46, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 46

Advancing to step 2:
If we divide 45 by 46, we get 0 and a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Fetch the next digit (6) from the dividend, attach it to 45 and continue: 456 / 46

On to step 3:
The number 46 fits into 456 9 times, leaving a remainder of 42.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 414 from 456 leaves us with 42.
Bring next digit (4) of the dividend behind the 42 and repeat the process: 424 / 46

Going ahead to step 4:
If we divide 424 by 46, we get 9 and a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 99.0
Subtracting 414 from 424 leaves us with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 46

Moving on to step 5:
46 goes into 103 2 times with a remainder of 11.
The next digit of our result is 2. 
Result so far: 992.0
If we subtract 92 from 103, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
If we divide 110 by 46, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 992.2
If we subtract 92 from 110, we 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.

Step 7:
180 divided by 46 is 3 with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 992.23
Subtracting 138 from 180 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
46 can be fit into 420 9 times, resulting in a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 992.239
Subtracting 414 from 420 leaves us 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.

Let's proceed to step 9:
The number 46 fits into 60 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 992.2391
Deduct 46 from 60 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
If we divide 140 by 46, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 992.23913
If we take 138 away from 140, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
If we divide 20 by 46, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 992.23913
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
200 divided by 46 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 992.2391304
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
46 goes into 160 3 times with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 992.23913043
Subtracting 138 from 160 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 992.23913043, and the remainder is 2.2e-08.