We're dividing 45443 by 42 
We're looking to find how many times 42 goes into 45443.

Advancing to step 1:
When dividing 4 by 42, we get 0 with a remainder of 4.
The next digit of our result is 0. 
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 / 42

Let's proceed to step 2:
42 goes into 45 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 45, we get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 42

Moving on to step 3:
42 can be fit into 34 0 times, resulting in a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 34, we get 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 42

Advancing to step 4:
42 can be fit into 344 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 108.0
Subtracting 336 from 344 leaves us with 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 42

Let's proceed to step 5:
When dividing 83 by 42, we get 1 with a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 1081.0
The remainder is 41 after subtracting 42 from 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 6:
The number 42 fits into 410 9 times, leaving a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 1081.9
Deduct 378 from 410 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
42 goes into 320 7 times with a remainder of 26.
The next digit of our result is 7. 
Result so far: 1081.97
If we subtract 294 from 320, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
The number 42 fits into 260 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 1081.976
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
42 goes into 80 1 times with a remainder of 38.
The next digit of our result is 1. 
Result so far: 1081.9761
If we take 42 away from 80, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 10:
If we divide 380 by 42, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 1081.97619
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
42 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1081.97619
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 1081.9761904
Subtract 168 from 200 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
42 goes into 320 7 times with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 1081.97619047
Deduct 294 from 320 and we're left 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.

The quotient of the division is 1081.97619047, and the remainder is 2.6e-08.