We look at the division of 157379 by 45 
We're looking to find how many times 45 goes into 157379.

Advancing to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 45

Going ahead to step 2:
When dividing 15 by 45, we get 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 45

Advancing to step 3:
The number 45 fits into 157 3 times, leaving a remainder of 22.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 135 from 157, we get 22.
Include the next digit (3) from the dividend after 22, then repeat: 223 / 45

On to step 4:
When dividing 223 by 45, we get 4 with a remainder of 43.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Subtracting 180 from 223 leaves us with 43.
Take the next digit (7) from the dividend and append it to 43, then repeat: 437 / 45

Step 5:
437 divided by 45 is 9 with a remainder of 32.
Use 9 as the next digit of our solution. 
Result so far: 349.0
If we subtract 405 from 437, we get 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 45

Let's proceed to step 6:
45 can be fit into 329 7 times, resulting in a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 3497.0
Deduct 315 from 329 and we're left 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.

Going ahead to step 7:
45 can be fit into 140 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 3497.3
The remainder is 5 after subtracting 135 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
45 goes into 50 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 3497.31
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
50 divided by 45 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 3497.311
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 3497.311 with a remainder of 0.0005.