We're dividing 281569 by 46 
We want to figure out the number of times 281569 can be divided by 46.

Going ahead to step 1:
When dividing 2 by 46, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 46

Step 2:
46 goes into 28 0 times with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 28, we end up with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 46

Step 3:
The number 46 fits into 281 6 times, leaving a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 276 away from 281, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 46

Let's proceed to step 4:
If we divide 55 by 46, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
The remainder is 9 after subtracting 46 from 55.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 46

Let's proceed to step 5:
The number 46 fits into 96 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 612.0
If we subtract 92 from 96, we get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 46

On to step 6:
49 divided by 46 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 6121.0
If we subtract 46 from 49, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 46 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 6121.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
If we divide 300 by 46, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 6121.06
If we take 276 away from 300, we end up 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 9:
240 divided by 46 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6121.065
Deduct 230 from 240 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
If we divide 100 by 46, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 6121.0652
Subtracting 92 from 100 leaves us with 8.
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 11:
When dividing 80 by 46, we get 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 6121.06521
Subtracting 46 from 80 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
When dividing 340 by 46, we get 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 6121.065217
If we take 322 away from 340, we end up with 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 13:
When dividing 180 by 46, we get 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 6121.0652173
The remainder is 42 after subtracting 138 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 14:
46 can be fit into 420 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 6121.06521739
The remainder is 6 after subtracting 414 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 6121.06521739 with a remaining 6e-09.