Long Division with Big Numbers
Aligned to 6.NS.B.2 — Common Core State Standards for Mathematics.
What this lesson teaches
The standard long-division algorithm breaks a big division into small steps: divide, multiply, subtract, bring down the next digit, and repeat until you run out of digits.
Worked examples
Example 1
6,192 ÷ 24: 24 goes into 61 twice (2×24=48, remainder 13), bring down 9 → 139, 24 goes in 5 times (5×24=120, remainder 19), bring down 2 → 192, 24 goes in 8 times exactly. Answer: 258.
Example 2
4,275 ÷ 15: 15 into 42 is 2 (30, remainder 12), bring down 7 → 127, 15 goes 8 times (120, remainder 7), bring down 5 → 75, 15 goes 5 times exactly. Answer: 285.
Example 3
Estimate to check the size: 4,275 ÷ 15 is about 4,000 ÷ 20 = 200, so 285 is plausible and 28 is not.
Practice questions
- Divide 4,050 ÷ 15.
- Divide 9,536 ÷ 32.
- A factory packs 7,308 bolts into boxes of 36. How many full boxes, and how many bolts are left over?
Watch the lesson
Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.
▶ Watch this lessonEn español
División Larga con Números Grandes
El algoritmo estándar de la división larga divide una operación grande en pasos pequeños: divide, multiplica, resta, baja el siguiente dígito y repite hasta acabar los dígitos.
Ejemplo 1: 6,192 ÷ 24: 24 cabe en 61 dos veces (2×24=48, sobra 13), baja el 9 → 139, 24 cabe 5 veces (5×24=120, sobra 19), baja el 2 → 192, 24 cabe 8 veces exactas. Resultado: 258.
Ejemplo 2: 4,275 ÷ 15: 15 en 42 cabe 2 veces (30, sobra 12), baja el 7 → 127, 15 cabe 8 veces (120, sobra 7), baja el 5 → 75, 15 cabe 5 veces exactas. Resultado: 285.
Ejemplo 3: Estima para revisar el tamaño: 4,275 ÷ 15 es como 4,000 ÷ 20 = 200, así que 285 es creíble y 28 no.
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