We look at the division of 153386 by 46 
Our goal is to divide 153386 by 46.

Advancing to step 1:
46 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 46

Step 2:
15 divided by 46 is 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 46

Moving on to step 3:
When dividing 153 by 46, we get 3 with 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.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 46

Going ahead to step 4:
When dividing 153 by 46, we get 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 33.0
The remainder is 15 after subtracting 138 from 153.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 46

Going ahead to step 5:
The number 46 fits into 158 3 times, leaving a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 333.0
Subtracting 138 from 158 leaves us with 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 46

On to step 6:
When dividing 206 by 46, we get 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 3334.0
Deduct 184 from 206 and we're left 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.

Advancing to step 7:
46 can be fit into 220 4 times, resulting in a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 3334.4
If we take 184 away from 220, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 8:
46 can be fit into 360 7 times, resulting in a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 3334.47
Deduct 322 from 360 and we're left 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.

Step 9:
46 can be fit into 380 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 3334.478
If we subtract 368 from 380, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
46 goes into 120 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 3334.4782
If we subtract 92 from 120, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
46 goes into 280 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 3334.47826
Subtract 276 from 280 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
46 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 3334.47826
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
The number 46 fits into 400 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 3334.4782608
If we subtract 368 from 400, we 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.

Going ahead to step 14:
When dividing 320 by 46, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 3334.47826086
If we subtract 276 from 320, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 3334.47826086 with a balance of 4.4e-08.