Material name: Long Division (Montessori Long Division)
Area: Mathematics
Purpose & developmental benefits:
The Long Division material enables children to practice multi-digit division with one- or two-digit divisors through a clear, step-by-step process based on the decimal system. Children work concretely with division, multiplication, subtraction, and bringing down numbers, gaining a true understanding of the logic of long division rather than relying on rote memorization.
This material serves as an essential bridge from Golden Beads, the Stamp Game, and decimal operations to abstract, paper-based division.
Skills supported:
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Performs long division with multi-digit numbers
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Analyzes numbers by units, tens, hundreds, and thousands
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Understands and manages remainders
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Strengthens logical thinking and problem-solving skills
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Prepares for advanced mathematics at the elementary level
Recommended age: 7–9 years
(for children already familiar with multiplication and division using Golden Beads and the Stamp Game)
Material & design:
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A Long Division board or chart for structured practice
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Cards or markers (depending on the set)
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Durable materials with Montessori-standard colors
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May include a practice booklet or exercise cards
Use in the classroom / at home:
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Dividing large numbers according to place value
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Practice with division with and without remainders
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Advanced work following division with Golden Beads
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Supports the transition to standard written long-division methods used in schools
