Divide 22 by 5 solve it by array and an area model

To solve the division problem 22 ÷ 5 using an array and an area model, follow these steps:

Step 1: Create an array with 22 squares arranged in a rectangular shape.

\begin{array}{cccccccccccccccccccc}1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 \\end{array}

Step 2: Divide the array into groups of 5 squares.

\begin{array}{cccccccccccccccccccc}\boxed{1} & \boxed{2} & \boxed{3} & \boxed{4} & \boxed{5} \\boxed{6} & \boxed{7} & \boxed{8} & \boxed{9} & \boxed{10} \\boxed{11} & \boxed{12} & \boxed{13} & \boxed{14} & \boxed{15} \\boxed{16} & \boxed{17} & \boxed{18} & \boxed{19} & \boxed{20} \\boxed{21} & \boxed{22} \\end{array}

Step 3: Count the number of groups to determine the quotient.

There are 4 full groups, and 2 squares left over. So the quotient is 4 with a remainder of 2.

Answer: \boxed{4 \text{ remainder } 2}