Let's divide 1345 by 46
We're looking to find how many times 46 goes into 1345.

Moving on to step 1:
When dividing 1 by 46, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 46

Step 2:
13 divided by 46 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 46

Going ahead to step 3:
134 divided by 46 is 2 with a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 42 after subtracting 92 from 134.
Fetch the next digit (5) from the dividend, attach it to 42 and continue: 425 / 46

On to step 4:
46 can be fit into 425 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 29.0
If we take 414 away from 425, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 5:
The number 46 fits into 110 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 29.2
Subtract 92 from 110 to 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.

Advancing to step 6:
46 can be fit into 180 3 times, resulting in a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 29.23
Deduct 138 from 180 and we're left 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.

Moving on to step 7:
The number 46 fits into 420 9 times, leaving a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 29.239
Subtract 414 from 420 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
46 goes into 60 1 times with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 29.2391
If we take 46 away from 60, we end up 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.

Advancing to step 9:
The number 46 fits into 140 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 29.23913
Subtract 138 from 140 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
When dividing 20 by 46, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 29.23913
If we take 0 away from 20, we end up 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 11:
46 can be fit into 200 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 29.2391304
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.

Let's proceed to step 12:
160 divided by 46 is 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 29.23913043
The remainder is 22 after subtracting 138 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 29.23913043 with a remaining 2.2e-08.