Learning goals
- A quotient is the number of full groups the divisor can make.
- The remainder is the amount left after full groups are removed.
- A division result always checks by divisor × quotient + remainder.
Long Division Stepper
Quotient and remainder in context
Step through division as a sequence: quotient, product, subtraction, and remainder.
What this game shows · Long Division
Long division looks like a wall of marks. This stepper breaks it into four named moves — divide, multiply, subtract, bring down — and reveals each step in turn so the algorithm reads as a sequence, not a ritual.
- Quotient
- how many full groups the divisor can make.
- Remainder
- what is left after the largest possible quotient.
- Check
- divisor × quotient + remainder = dividend.
Aligned with CCSS 5.NBT.B.6 (find whole-number quotients with up to four-digit dividends).
Long division revealer
Advance the sequence: divide, multiply, subtract, read the remainder.
154 ÷ 6
Quotient
?
6154
1. 6 x 25
2. product 150
3. remainder 4
Reveal
0/3
Problem
Division model
Who this demo helps, and where to practice next
Long Division Stepper is built for students who mix up sharing, grouping, quotient, and remainder. It gives the page a clear search purpose: learn the model, manipulate it, then continue into the matching grade-level practice.
Long Division Stepper helps when a student can copy a procedure but cannot explain why it works. The demo slows the idea down into a visible model before sending the learner to guided missions.
How to play
- 1 Decide whether the story asks for group size or number of groups.
- 2 Run the model and watch what remains after full groups are made.
- 3 Move to long-division practice only after the grouping model makes sense.
Continue with guided practice
FAQ
Tap to expand Long division, one step at a time.
01 What are the four steps of long division? Divide-mult-sub-bring
Divide (how many fit?), multiply (subtotal), subtract (find what is left), bring down (next digit). Repeat until no digits remain.
02 Why bring down the next digit? One place at a time
Because each step works on one place value at a time. After handling the hundreds, you bring the tens down so the new partial dividend includes the leftover hundreds plus the tens.
03 How do you check the answer? d × q + r = D
Divisor × quotient + remainder should equal the original dividend. Any mismatch points to a slip somewhere in the four steps.
04 Which grade is this game for? Grades 4–5
Grades 4–5, aligned with CCSS 5.NBT.B.6. Straight setup for decimal division in Grade 6.