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Division with Remainders

  • Grade 4
  • Mathematics
  • 4.NBT.B.6
  • Number & Operations in Base Ten
  • Free lesson

Aligned to 4.NBT.B.6 — Common Core State Standards for Mathematics.

What this lesson teaches

Divide by breaking the big number apart by place value. Share out the hundreds, then tens, then ones. Whatever is left over that cannot be shared evenly is the remainder.

Worked examples

Example 1

947 / 4. Think 900 = 200 fours (800) with 100 left. Bring it together: 4 x 200 = 800, leaving 147. 4 x 30 = 120, leaving 27. 4 x 6 = 24, leaving 3. Add the parts: 200 + 30 + 6 = 236, remainder 3. Check: 236 x 4 = 944, plus 3 = 947.

Example 2

156 ÷ 7. 7 × 20 = 140, leaving 16. 7 × 2 = 14, leaving 2. So 156 ÷ 7 = 22 remainder 2. Check: 22 × 7 = 154, plus 2 = 156.

Example 3

What you do with the remainder depends on the question. 25 kids ÷ 4 per car is 6 remainder 1 — you need 7 cars, not 6.25.

Practice questions

  1. Divide: 685 / 5.
  2. Divide: 1,238 / 6 and give the remainder.
  3. 84 apples are packed 9 to a box. How many full boxes, and how many apples 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.

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En español

División con residuo

Divide separando el número grande por valor posicional. Reparte las centenas, luego las decenas y luego las unidades. Lo que sobra y no se puede repartir en partes iguales es el residuo.

Ejemplo 1: 947 / 4. Piensa 4 x 200 = 800, quedan 147. 4 x 30 = 120, quedan 27. 4 x 6 = 24, quedan 3. Suma las partes: 200 + 30 + 6 = 236, residuo 3. Comprueba: 236 x 4 = 944, más 3 = 947.

Ejemplo 2: 156 ÷ 7. 7 × 20 = 140, quedan 16. 7 × 2 = 14, quedan 2. Entonces 156 ÷ 7 = 22 con residuo 2. Comprueba: 22 × 7 = 154, más 2 = 156.

Ejemplo 3: Lo que hagas con el residuo depende de la pregunta. 25 niños ÷ 4 por coche es 6 con residuo 1 — necesitas 7 coches, no 6.25.

More Number & Operations in Base Ten lessons

Place Value to a Million and Multi-Digit Arithmetic4.NBT.A.1Read, Write, and Compare Big Numbers4.NBT.A.2Rounding Big Numbers4.NBT.A.3Adding and Subtracting Big Numbers4.NBT.B.4

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