151379 ÷ 45 
We want to divide 151379 by 45.

Step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 45

On to step 2:
When dividing 15 by 45, we get 0 with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 45

Step 3:
The number 45 fits into 151 3 times, leaving a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 135 from 151 and we're left with 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 45

Going ahead to step 4:
When dividing 163 by 45, we get 3 with a remainder of 28.
The next digit of our result is 3. 
Result so far: 33.0
If we subtract 135 from 163, we get 28.
Grab the next digit (7) from the dividend, add it to 28, then carry on: 287 / 45

Moving on to step 5:
If we divide 287 by 45, we get 6 and a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 336.0
Subtracting 270 from 287 leaves us with 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 45

Moving on to step 6:
When dividing 179 by 45, we get 3 with a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 3363.0
If we take 135 away from 179, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
45 goes into 440 9 times with a remainder of 35.
The next digit of our result is 9. 
Result so far: 3363.9
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
350 divided by 45 is 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 3363.97
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
If we divide 350 by 45, we get 7 and a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 3363.977
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 3363.977 with a remainder of 0.0035.