Bus Stop Division of 864 ÷ 12

Overview

A step-by-step animation of the short division (bus stop) method for dividing 864 by 12. The animation demonstrates how to mentally compute $864 \div 12 = 72$ by considering pairs of digits, multiplying, subtracting, and then showing the final quotient directly—skipping the intermediate “bring down” step. Each step is visually highlighted to guide the viewer through the algorithm.

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Phases

#	Phase Name	Duration	Description
1	Intro	~2s	Show the equation $864 \div 12 = \_\_\_\_$ centered. The equals sign and answer blank appear after a short pause.
2	Setup	~2s	Transform the equation into the bus stop layout: write 864 inside the division bracket (over a horizontal line), place 12 to the left of the bracket, and clear the original equation. The horizontal line of the bracket is positioned about 4 mm above the digits so it does not strike through the 864; the vertical line is shortened to only descend to just below the horizontal line (i.e., it does not extend far downward).
3	First Digit (8)	~2s	Highlight the digit 8 (first digit of 864). Show that 12 does not fit into 8, so we consider the next digit. A small red ‘X’ or strike-through appears on the 8, then highlight the pair “86”.
4	First Multiplication	~4s	Show the calculation $12 \times 7 = 84$. Write “7” above the tens digit (6) of 864 (so the quotient digit aligns in the tens place above the dividend). Write “84” below “86” without any horizontal line underneath the 84, then directly show the subtraction result: $86 - 84 = 2$ (the remainder 2 appears below, with the 2 aligned under the 6 of 86). Highlight the remainder 2.
5	Skip to Result	~4s	After highlighting the remainder 2, immediately fade out all intermediate numbers (the subtraction result 84, the remainder 2, the highlight on 86). Then reveal the second quotient digit “2” above the units digit (4) of 864 so that the full quotient “72” is displayed above the dividend (7 over the 6, 2 over the 4).
5b	Second Step Caption	~4s	While the quotient 72 is displayed above the dividend, show the caption “12 goes into 24 twice” at the bottom of the screen in the same style as earlier step captions (small text, centered below the main area). The visual remains unchanged.
6	Final Answer	~2s	Keep the full bus stop layout with quotient 72 above the dividend, divisor 12, and the equation centered below. Optionally add a subtle glow or underline to emphasize the answer.

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Layout

┌─────────────────────────────────────────────┐
│                                             │
│              MAIN (division board)          │
│   (bus stop symbol, numbers, highlights)    │
│                                             │
├─────────────────────────────────────────────┤
│  Caption / step label (optional)            │
└─────────────────────────────────────────────┘

Area Descriptions

Area	Content	Notes
Main	The bus stop division layout: divisor (12) left of the bracket, dividend (864) inside, evolving steps (partial product 84, remainder 2, and quotient digits above the dividend). The bracket’s horizontal line is positioned above the dividend digits (about 4 mm higher) so it does not intersect them; the vertical line is shortened—it reaches from the top of the horizontal line down to just below the dividend’s baseline, but does not extend far downward. After the first subtraction, the animation skips the traditional “bring down” and goes directly to showing the full quotient 72. The quotient digits are placed directly above the corresponding digits of the dividend: the 7 above the 6 (tens place) and the 2 above the 4 (units place).	Primary focus; use most of the frame. Highlights and color changes indicate which digits are active.
Caption	A short step title (e.g., “Step 1: 12 into 86 → 7”, “Step 2: 12 into 24 → 2”) or a summary label. During Phase 5b, the caption “12 goes into 24 twice” appears here.	Optional; if used, keep small and below the main area. Phase 5b caption is required.

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Notes

• Use color coding: highlight the current digit(s) under consideration in yellow, the quotient digits in green, the subtraction result in red/orange, and the final answer in bold blue.
• Transitions should be smooth (FadeIn/Out, Transform) to avoid jarring jumps.
• The bracket’s vertical line is short—it only needs to enclose the dividend visually; it is no longer than necessary to appear as a standard division bracket but with minimal downward extension. The horizontal line remains above the digits by about 4 mm.
• No horizontal subtraction line is drawn under the 84; the subtraction result (2) appears directly below the aligned numbers without an underline.
• The quotient digits are placed directly above the dividend digits they correspond to: the 7 (tens) above the 6 of 864, and the 2 (units) above the 4 of 864.
• The carry remainder and second multiplication steps (shown in earlier versions) are completely removed; after the first subtraction, the animation jumps straight to showing the quotient 72 and the final equation. This skips the “bringing down the 24” section.
• Total animation time is approximately 20 seconds (2+2+2+4+4+4+2). Each phase duration may be slightly adjusted to keep pacing natural.
• The final scene should clearly show the quotient 72 above the dividend (aligned correctly), with the divisor and dividend still visible, and the equation $864 \div 12 = 72$ centered below.
• The caption in Phase 5b appears in the same style as earlier step captions (e.g., small, centered text below the main area, using a neutral color like white or light gray).