SME
Grade 6 Math · The Number System
Compute with multi-digit numbers and decimals
Use this for “Divide 1,512 by 24” with the standard algorithm.
Diagram
1,350 + 81 = 1,431.
1,431 ÷ 27 = 53: 50 + 3.
This is an example. Type your own values to start a new problem.
n
÷
d
=
q
Formulas
1,431 ÷ 27 = 53
Dividend ÷ divisor = quotient
Assumptions
•
Divide, multiply, subtract, bring down: the same steps for every digit.
•
When the digits run out, write a point and zeros and keep going.
•
Divisors are whole numbers from 2 to 999; quotients end within three decimal places (else use the remainder page).
Step-by-step
WE KNOW
Dividend: 1,431
Divisor: 27
FIND
quotient
Step 1 · Find quotient
1,431 ÷ 27 = ?
Dividend ÷ divisor = quotient
Divide place by place. Write the point in the quotient above the point in the dividend.
5
3
27
)
1
4
3
1
−
1
3
5
8
1
−
8
1
0
Quotient = 53
Check
Put the numbers back in. Both sides should match.
53 × 27 = 1,431 ✓
Topic check
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More problem types
Divide multi-digit numbers with a remainder
Use this for “1,431 ÷ 99 = ?” when it doesn’t come out even: 14 remainder 45.
Multiply decimals
Use this for “Find the value of (0.052)(0.36),” or 2.35 × 1.4.
Add and subtract decimals
Use this for “$18.25 − $6.40,” or 9.3 − 4.56.
Divide by a decimal
Use this for “3.6 ÷ 1.2”: make the divisor whole, then divide.