CurriculumGrade 4Mathematics

Division with Remainders

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 example

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.

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

Division con residuo

Divide separando el numero 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: 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, mas 3 = 947.

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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