We're dividing 354074 by 45 
We're looking to find how many times 45 goes into 354074.

Advancing to step 1:
45 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 45

Let's proceed to step 2:
45 goes into 35 0 times with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 45

Let's proceed to step 3:
45 goes into 354 7 times with a remainder of 39.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 315 from 354 to get 39.
Grab the next digit (0) from the dividend, add it to 39, then carry on: 390 / 45

Moving on to step 4:
45 goes into 390 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
Subtract 360 from 390 to get 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 45

Step 5:
When dividing 307 by 45, we get 6 with a remainder of 37.
The number 6 becomes the next digit in our result. 
Result so far: 786.0
Deduct 270 from 307 and we're left with 37.
Bring next digit (4) of the dividend behind the 37 and repeat the process: 374 / 45

Advancing to step 6:
374 divided by 45 is 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 7868.0
If we subtract 360 from 374, we get 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 7:
If we divide 140 by 45, we get 3 and a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 7868.3
Subtract 135 from 140 to get 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 8:
When dividing 50 by 45, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 7868.31
If we take 45 away from 50, we end up 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.

Going ahead to step 9:
45 goes into 50 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 7868.311
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 7868.311 with a remaining 0.0005.