SME
Grade 6 Math · Problem type
Divide multi-digit numbers with a remainder
Use this for “1,431 ÷ 99 = ?” when it doesn’t come out even: 14 remainder 45.
Diagram
990 + 396 + 45 left over = 1,431.
1,431 ÷ 99 = 14, remainder 45: 10 + 4.
This is an example. Type your own values to start a new problem.
n
÷
d
=
w
remainder
r
Amount used
worked out (not typed)
Formulas
1,431 ÷ 99 → 14 whole groups
Dividend ÷ divisor, whole number part = whole-number quotient
14 × 99 = 1,386
Whole-number quotient × divisor = amount used
1,386 + 45 = 1,431
Amount used + remainder = dividend
Assumptions
•
Divide, multiply, subtract, bring down. What is left at the end is the remainder.
•
The remainder is less than the divisor.
•
As a decimal the quotient keeps going (14.4545…): round it, to hundredths say, if the question asks.
•
Dividends to 99,999; divisors from 2 to 999.
Step-by-step
WE KNOW
Dividend: 1,431
Divisor: 99
FIND
whole-number quotient, amount used, remainder
Step 1 · Find whole-number quotient
1,431 ÷ 99 → ? whole groups
Dividend ÷ divisor, whole number part = whole-number quotient
Divide place by place, and stop at the ones.
Whole-number quotient = whole groups of 99 in 1,431
1
4
99
)
1
4
3
1
−
9
9
4
4
1
−
3
9
6
4
5
Whole-number quotient = 14
Step 2 · Find amount used
14 × 99 = ?
Whole-number quotient × divisor = amount used
Multiply back: how much the whole quotient uses.
3
9
9
×
1
4
3
9
6
+
9
9
0
1
3
8
6
Amount used = 1,386
Step 3 · Find remainder
1,386 + ? = 1,431
Amount used + remainder = dividend
What is left over is the remainder.
Remainder = 1,431 − 1,386
3
12
11
1
4
3
1
−
1
3
8
6
4
5
Remainder = 45 (as a decimal: about 14.45)
Check
Put the numbers back in. Both sides should match.
1,431 ÷ 99 → 14 whole groups ✓
14 × 99 = 1,386 ✓
1,386 + 45 = 1,431 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.