We're dividing 153940 by 46 
We're looking to find how many times 46 goes into 153940.

Let's proceed to step 1:
46 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 46

On to step 2:
If we divide 15 by 46, we get 0 and a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 46

On to step 3:
The number 46 fits into 153 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 138 from 153, we get 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 46

Advancing to step 4:
The number 46 fits into 159 3 times, leaving a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
If we take 138 away from 159, we end up with 21.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 46

On to step 5:
46 goes into 214 4 times with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 334.0
If we subtract 184 from 214, we get 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 46

Moving on to step 6:
When dividing 300 by 46, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 3346.0
Subtract 276 from 300 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
46 can be fit into 240 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 3346.5
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.

Advancing to step 8:
If we divide 100 by 46, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 3346.52
Subtract 92 from 100 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
80 divided by 46 is 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 3346.521
The remainder is 34 after subtracting 46 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 10:
If we divide 340 by 46, we get 7 and a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 3346.5217
Subtracting 322 from 340 leaves us 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.

Moving on to step 11:
If we divide 180 by 46, we get 3 and a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 3346.52173
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.

On to step 12:
If we divide 420 by 46, we get 9 and a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 3346.521739
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.

Going ahead to step 13:
46 goes into 60 1 times with a remainder of 14.
The next digit of our result is 1. 
Result so far: 3346.5217391
The remainder is 14 after subtracting 46 from 60.
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 14:
46 can be fit into 140 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 3346.52173913
Deduct 138 from 140 and we're left 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.

Our division results in 3346.52173913 with a remaining 2e-09.