Long Division
Learn long division one step at a time. Find each quotient digit, test it with multiplication, subtract, and bring down the next digit. Gold helper cards guide you through tricky calculations.
Every new game creates fresh division problems and answer tiles for extra practice.
Choose a grade level
Grade labels are a guide. Choose the division type that matches the learner’s current skills.
How to Play Long Division
Work from left to right. In this game, the gold Find the Quotient card helps you choose each quotient digit. Check your choice, then subtract and bring down the next digit.
Choose how many times the divisor fits into the highlighted number. Try a digit from 1 to 9.
Check your guess by multiplying. If the product is too large, try a smaller digit; if more could fit, try a larger one. The correct digit and product transfer to the division board.
Subtract the product from the current number. Use the gold helper when borrowing is needed.
Bring down the next digit and find the next quotient digit. Continue until no digits remain.
Remember: Choose the largest digit whose product does not exceed the current number. For multi-digit divisors, the gold card lets you multiply in columns; multiplying by 1 needs no columns. If the divisor does not fit, write 0 in the quotient to keep its place. A remainder is the amount left after the final subtraction, and it must be smaller than the divisor.
Let's solve 936 ÷ 36. Start with 93: how many times does 36 fit into 93? Test your estimate in the gold card.
The first quotient digit is 2. The game transfers 2 and 72 to the division board. Subtract 93 − 72 = 21, then bring down 6 to make 216. Now find the next digit: 36 × 6 = 216.
Start with 93. Try 36 × 3 = 108 (too large), then 36 × 2 = 72 (fits). Place 2 in the quotient and 72 beneath 93.
Subtract 93 − 72 = 21. Bring down the next digit, 6, to make 216.
Find the next quotient digit: 36 × 6 = 216. Subtract 216 − 216 = 0. The quotient is 26, with no remainder. Check: 36 × 26 = 936.