Can anyone explain to me me how long division works briefly or in detail? for 20pts?

If you have 1275 ÷ 4, you write it as shown, with 1275 on the inside and 4 on the outside. then you go digit by digit and find how many times 4 goes into the number. it goes into 1 zero times, so an imaginary 0 is put in the first spot above the 1. next, 4 goes into 12 three times, so 3 is written above the 2. After that, subtract 4×3 from 12, which leaves 0, and bring down the 7. 4 goes into 7 once with a remainder of 3, so a 1 is put up top and the 5 brought down next to the three. 4 goes into 35 eight times with a remainder of 3,so 8 is written up top. the 3 is the remainder, written as R3. so your answer is 1274÷4= 318 R3.
Hope this helps.

23

Step-by-step explanation:

We have to fill in the following tree (upside down)

TRW=?  TRP=?  TBW=? TBP=?   SRW=? SRP=?  SBW=?  SBP=?

        TR=?                TB=?                SR=?                SB=?

                     T=?                                            S=?

Where TRW means TriangularRedWooden, SBP SquareBluePlastic  and so on.

We are going to fill in the entrances (?) from bottom to top by using the data provided.

75 triangular tiles T=75, S=69 (there are 144 tiles)

TRW=? TRP=? TBW=? TBP=? SRW=? SRP=?  SBW=? SBP=?

        TR=?                TB=?                SR=?               SB=?

                     T=75                                         S=69

38 red triangular tiles. TR=38 TB=37 (75-38)

TRW=? TRP=? TBW=? TBP=? SRW=? SRP=?  SBW=? SBP=?

        TR=38             TB=37               SR=?               SB=?

                     T=75                                         S=69

69 red tiles. SR=31 (69-38) SB=38 (69-31)

TRW=? TRP=?  TBW=? TBP=?  SRW=? SRP=?   SBW=? SBP=?

        TR=38             TB=37               SR=31             SB=38

                     T=75                                         S=69

                                 

23 red wooden triangular tiles. TRW=23 TRP=15 (38-23)

TRW=23 TRP=15 TBW=? TBP=? SRW=? SRP=?  SBW=? SBP=?

        TR=38             TB=37               SR=31             SB=38

                     T=75                                         S=69

36 red wooden tiles. SRW=13 (36-23) SRP=18 (31-13)

TRW=23 TRP=15TBW=? TBP=? SRW=13 SRP=18 SBW=? SBP=?

        TR=38             TB=37               SR=31             SB=37

                     T=75                                         S=69

40 triangular wooden tiles. TBW=17 (40-23) TBP=20 (37-17)

TRW=23 TRP=15 TBW=17 TBP=20 SRW=13 SRP=18 SBW=? SBP=?

        TR=38             TB=37               SR=31             SB=38

                     T=75                                         S=69

68 wooden tiles. SBW=15 (68-23-17-13) SBP=23 (38-15)

TRW=23 TRP=15 TBW=17 TBP=20 SRW=13 SRP=18 SBW=15 SBP=23

        TR=38             TB=37               SR=31             SB=37

                     T=75                                         S=69

Our tree is filled up!

how many blue plastic square tiles are there?

SquareBluePlastic = SBP = 23