Use strategies based on place value, properties of operations, and/or the relationship between multiplication and
division to find whole-number quotients and remainders with one-digit divisors and up to four-digit dividends.
Illustrate and/or explain quotients using equations, rectangular arrays, and/or area models.
Arizona Academic Standards:
4.NBT.B.6
Demonstrate understanding of division by finding whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.
Common Core State Standards:
Math.4.NBT.6 or 4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit
dividends and one-digit divisors, using strategies based on place
value, the properties of operations, and/or the relationship between
multiplication and division. Illustrate and explain the calculation by
using equations, rectangular arrays, and/or area models.
Georgia Standards of Excellence (GSE):
4.NR.2.4
Solve authentic division problems involving up to 4-digit dividends and 1- digit divisors (including whole number quotients with remainders) using strategies based on place-value understanding, properties of operations, and the relationships between operations.
North Carolina - Standard Course of Study:
4.NBT.6
Find whole-number quotients and remainders with up to three-digit dividends and one-digit divisors with place value understanding using rectangular arrays, area models, repeated subtraction, partial quotients, properties of operations, and/or the relationship between multiplication and division.
New York State Next Generation Learning Standards:
4.NBT.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Notes on and/or:
Students should be taught to use strategies based on place value, the properties of operations, and the relationship between multiplication and division; however, when solving any problem, students can choose any strategy.
Students should be taught to use equations, rectangular arrays, and area models; however, when illustrating and explaining any calculation, students can choose any strategy.
Tennessee Academic Standards:
4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Wisconsin Academic Standards:
4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors,
using strategies based on place value, the properties of operations, and/or the relationship
between multiplication and division. Illustrate and explain the calculation by using equations,
rectangular arrays, or area models.
Pennsylvania Core Standards:
CC.2.1.4.B.2
Use place-value understanding and properties of operations to perform multi-digit arithmetic
Pennsylvania Core Standards:
M04.A-T.2.1.3
Divide up to four-digit dividends by one-digit divisors with answers written as whole-number quotients and remainders.
Georgia Standards of Excellence (GSE):
4.NR.2.4
Solve authentic division
problems involving up to
4-digit dividends and 1-
digit divisors (including
whole number quotients
with remainders) using
strategies based on
place-value
understanding,
properties of
operations, and the
relationships between
operations.
Arkansas Academic Standards:
4.CAR.4
Use strategies based on place value, the properties of operations, and the relationship between multiplication and division to divide whole numbers with four-digits by one-digit divisors; quotients should be with and without whole number remainders.
4th Grade Math - Division Lesson
One way to divide a number with more than one digit by a one-digit number is by using partial quotients.
Example:
Step 1: Set up the problem.
3
3164
Step 2: Think of a multiple of 3 that is less than 3,164. An easy multiple of 3 is 3,000 (3 × 1,000 = 3,000). Write 1,000 to the right of the long line, and write 3,000 under 3,164. Subtract 3,000 from 3,164.
3
3164
1000
- 3000
164
Step 3: Repeat the process with 164. A multiple of 3 that is less than 164 is 150 (3 × 50 = 150).
3
3164
1000
- 3000
164
50
- 150
14
Step 4: Repeat the process with 14. A multiple of 3 that is less than 14 is 12 (3 × 4 = 12).
3
3164
1000
- 3000
164
50
- 150
14
4
- 12
2
Step 5: Add the numbers on the right.
1,000 + 50 + 4 = 1,054
Since 2 is not divisible by 3, the remainder is 2. So, 3,164 ÷ 3 = 1,054 R2.
Use long division to divide a multi-digit number by a one-digit number.
Example:
Step 1: Write the divisor to the left of the long division symbol, and write the dividend under the long division symbol.
Step 2: The first digit of the dividend, 3, is less than the divisor, 4, so divide the first two digits of the dividend by the divisor (31 ÷ 4 = 7 R3). Write the 7 in the hundreds place of the quotient.
Step 3: Bring down the next digit in the dividend, 7, and divide (37 ÷ 4 = 9 R1). Write the 9 in the tens place of the quotient.
Step 4: Bring down the next digit in the dividend, 6, and divide (16 ÷ 4 = 4). Write the 4 in the ones place of the quotient.
Use long division to divide a multi-digit number by a one-digit number.
Example:
Step 1: Write the divisor to the left of the long division symbol, and write the dividend under the long division symbol.
Step 2: The first digit of the dividend, 5, is less than the divisor, 6, so divide the first two digits of the dividend by the divisor (52 ÷ 6 = 8 R4). Write the 8 in the tens place of the quotient.
Step 3: Bring down the next digit in the dividend, 3, and divide (43 ÷ 6 = 7 R1). Write the 7 in the ones place of the quotient.
Step 4: 1 cannot be divided by 6 evenly, so the 1 is left over. The number left over at the end of a division problem is called the remainder. Write the remainder with the quotient.
4th Grade Math - Division Lesson
