TEACHING HOPPY TO DIVIDE WIHOUT REMAINDER, say, 12 ÷ 4 BY "ROW-TO-TABLE ALGORITHM"

  1. For DIVIDEND of 12, HOPPY constructs ROW OF 12 COUNTABLES:
    	* * * * * * * * * * * *

  2. Given DIVISOR of 4, HOPPY REDISTRIBUTES THE 12 COUNTABLES in COLUMNS OF EQUAL COUNTABLES,
    1. starting with FIRST COLUMN of 4 (taking 4 away from ORIGINAL ROW):
      	* * * * * * * *		*
                                *
                                *
                                *

    2. Then SECOND COLUMN of 4 (taking 4 away from ORIGINAL ROW):
      	* * * *			*  *
                                *  *
                                *  *
                                *  *

    3. Then THIRD COLUMN of 4 (finding this leaves ZERO REMAINDER in ROW):
      				*  *  *
                                *  *  *
                                *  *  *
                                *  *  *
  3. Hoppy then COUNTS COLUMNS: 3 -- SO PRINTS 12 ÷ 4 = 3.
EXAMPLE with HOP-SQUARES and FLOWCHARTS [UNDER CONSTRUCTION].
How Hoppy Divides, with Remainder, say, 14 ÷ 4

  1. For DIVIDEND of 14, HOPPY constructs ROW OF 14 COUNTABLES:
    	* * * * * * * * * * * * * *

  2. Given DIVISOR oF 4, HOPPY REDISTRIBUTES these in COLUMNS OF EQUAL COUNTABLES,
    1. starting with FIRST COLUMN of 4 (taking 4 away from ROW):
       * * * * * * * * * *		*
                                *
                                *
                                *

    2. Then SECOND COLUMN of 4 (taking 4 away from ROW):
       * * * * * *			*  *
                                *  *
                                *  *
                                *  *

    3. Then THIRD COLUMN of 4 (finding this leaves remainder of 2 in ROW):
      	* *			*  *  *
                                *  *  *
                                *  *  *
                                *  *  *
  3. Hoppy COUNTS COLUMNS: 3 COLUMNS, with REMAINDER OF 2 COUNTABLES.
  4. Hoppy PRINTS 14 ÷ 4 = 3, R = 2.
EXAMPLE with STAGES and (UNFOLDED) FLOWCHARTS.
Hoppy divides other DIVIDENDS similarly.