Fourth Grade · Math · week 22

Zeros in the quotient

Correctly write a 0 in the quotient whenever a divisor does not fit into a bring-down amount at all.

Sometimes the divisor simply does not fit into a digit at all. That place in the quotient still gets a written 0, and then you bring down the next digit and keep going exactly as before.

Skipping that zero instead of writing it shifts every digit after it into the wrong place value, which changes the size of the whole answer.

📋 For the teacher
Teach it (10–15 min):
  • Have them physically write the "0" in the quotient blank rather than leaving a gap or skipping ahead.
  • Check every zero-containing quotient by multiplying the FULL quotient (including its zero) by the divisor to rebuild the dividend.
  • Watch for double-zero cases, like 909 / 9 = 101, where two quotient digits in a row are both 0; the same rule just applies twice.
  • Slow down right at the step where the divisor does not fit; that is exactly where the zero belongs.
Talk about it:
  • Why can you not just skip writing a 0 in the quotient?
  • How do you check that a quotient with a zero in it is correct?
  • What tells you a quotient digit should be 0 rather than skipped entirely?

Mastery looks like: They correctly write a 0 in the quotient whenever a divisor does not fit into a bring-down amount, keeping every place value correct.

Common stumbles: Leaving out the zero and shifting later digits into the wrong place; forgetting to bring down the next digit after writing a zero.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

DivisionShare fairly and build equal groups.try →
Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
← Back to todayAll coursesYear planner