6.NS.2: Divide Multi-Digit Numbers Fluently
Also written as 6.NS.B.2 and CCSS.MATH.CONTENT.6.NS.B.2 · Cluster: Compute fluently with multi-digit numbers and find common factors and multiples.
The Official Wording
Fluently divide multi-digit numbers using the standard algorithm.
Common Core State Standards, Grade 6, The Number System · Read it at the source · Checked October 14, 2026
What 6.NS.2 Means in Plain English
Sixth graders divide numbers like 5,376 ÷ 32 with standard long division and get it right without a model. The arrays and partial quotients of 4th and 5th grade are behind them. Fluent means the algorithm is automatic enough to use inside a bigger problem.
This is the last whole-number division standard in the Common Core. Divisors can have two or more digits, remainders are written as fractions or decimals when the context asks, and the same algorithm carries into 6.NS.3 for decimals. In 7th grade, 7.NS.2 reuses it to turn fractions into repeating decimals.
6.NS.2 I Can Statements
- I can divide a four-digit number by a two-digit number.
- I can write a remainder as a fraction or a decimal.
- I can check a quotient by multiplying back.
6.NS.2 Worked Example
One long division with a two-digit divisor, written the way the standard expects and talked through at every bring-down.
A stadium has 5,376 seats in 32 equal sections. How many seats are in each section?
- Set up the division. 32 does not go into 5, so start with 53. How many 32s in 53? One, with 21 left over.53 - 32 = 21, write 1 in the hundreds place of the quotient
- Bring down the 7 to make 217. How many 32s in 217? Six, since 32 × 6 = 192 and 32 × 7 = 224 is too big.217 - 192 = 25, write 6 in the tens place
- Bring down the 6 to make 256. How many 32s in 256? Exactly eight.256 - 256 = 0, write 8 in the ones place
- Nothing is left over, so the quotient is a whole number.5,376 ÷ 32 = 168
Check it: Multiply back: 32 × 168 = 32 × 100 + 32 × 60 + 32 × 8 = 3,200 + 1,920 + 256 = 5,376.
Common Mistakes with 6.NS.2
Skipping the zero in the quotient
4,848 ÷ 24 = 22 (48 ÷ 24 = 2, bring down the 4, skip it, 48 ÷ 24 = 2)
Try this: Insist on a digit for every bring-down. When 24 does not go into 4, write 0 and keep going: 4,848 ÷ 24 = 202.
A remainder bigger than the divisor
217 ÷ 32: writing 5 with 57 left over
Try this: Compare the leftover with the divisor before moving on. If 57 is more than 32, the quotient digit goes up by one.
Estimating the quotient digit too high
217 ÷ 32: writing 7, then a negative number when subtracting 224
Try this: Estimate with a rounded divisor, 217 ÷ 30 is about 7, then test: 32 × 7 = 224 is too big, so use 6.
Where 6.NS.2 Fits
Practice 6.NS.2
Quick Check
- 2,964 ÷ 12
- 7,221 ÷ 29
- A school orders 3,750 pencils packed 36 to a box. How many full boxes is that, and how many pencils are left over?