SME
Grade 4 Math · Number & Base Ten
Divide multi-digit numbers by one-digit numbers
Use this for “Divide 743 by 6. What is the remainder?”
Diagram
600 + 120 + 18 + 5 left over = 743.
743 ÷ 6 = 123, remainder 5: 100 + 20 + 3.
Quotient: 123
This is an example. Type your own values to start a new problem.
Dividend
÷
Divisor
=
Quotient
remainder
Remainder
Shared out
worked out (not typed)
Formulas
123 × 6 = 738
Quotient × divisor = shared out
738 + 5 = 743
Shared out + remainder = dividend
743 ÷ 6 → 123 whole groups
Dividend ÷ divisor → quotient whole groups
Assumptions
•
Make groups the size of the divisor. The number of groups is the quotient.
•
Take away groups by place, biggest first: 600 is 100 sixes, 120 is 20 sixes, 18 is 3 sixes.
•
What is left is the remainder. It is always less than the divisor.
•
Check: quotient × divisor + remainder = dividend.
Step-by-step
WE KNOW
Dividend: 743
Divisor: 6
FIND
quotient, shared out, remainder
Step 1 · Find quotient
743 ÷ 6 → ? whole groups
Dividend ÷ divisor → quotient whole groups
Take away groups of the divisor by place: hundreds of groups, then tens, then ones.
6
)
7
4
3
−
6
0
0
100 × 6
1
4
3
−
1
2
0
20 × 6
2
3
−
1
8
3 × 6
5
100 + 20 + 3 = 123
Quotient: 1 hundred, 2 tens, 3 ones → 123
5 left over: less than 6, so it is the remainder
Quotient = 123
Step 2 · Find shared out
123 × 6 = ?
Quotient × divisor = shared out
The groups times the divisor: what was shared out.
1
2
3
×
6
1
8
3 × 6
1
2
0
20 × 6
6
0
0
100 × 6
7
3
8
Shared out = 738
Step 3 · Find remainder
738 + ? = 743
Shared out + remainder = dividend
The remainder is what is left after sharing out.
Remainder = 743 − 738
Remainder = 5
Check
Put the numbers back in. Both sides should match.
123 × 6 = 738 ✓
738 + 5 = 743 ✓
743 ÷ 6 = 123 remainder 5 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.