M=6400; N=70; P=3; Q=24; R=2
To find M, multiply 8 by 800; 8(800) = 6400
We know that 8*N = 560. Since 8*7 = 56, we know that 8*70 = 560, so N = 70.
Using the area model, to this point we have 6400+560 = 6960. We need to know how much is left: 6986-6960 = 26. We know that we are dividing by 8; the closest multiple of 8 to 26 is 24. This means that Q = 24. Since 8*3 = 24, P = 3.
This gives us 6400+560+24 = 6984. We have 2 left from having the dividend; this means R = 2.
To check this, multiply (800+70+3) by 8:
3*8 = 24; write the 4 down under the 3, carry the 2 above the 7.
Multiply 7*8; 7*8 = 56; add the 2, 56+2 = 58; write the 8 down to the left of the 4 and carry the 5 above the 8.
Multiply 8*8; 8*8=64; add the 5, 64+5 = 69; write this to the left of the 8.
This gives us 6984.
Add the remainder of 2 and we get 6986.
