Kani Math
Cosmic Abacus
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Soroban division practice

The last technique in the ladder: place the dividend, subtract multiples of the divisor, and read the quotient off the rods it left behind.

  • Division, 2-digit quotient
  • About 12 min
  • Free, no account

Sample problems

Real problems from this drill, with answers. Nothing to install, no account, no email — work them on paper, on a physical abacus, or in your head.

  1. 1
    284 ÷ 4
    ?
  2. 2
    315 ÷ 7
    ?
  3. 3
    324 ÷ 9
    ?
  4. 4
    123 ÷ 3
    ?
  5. 5
    98 ÷ 7
    ?
  6. 6
    246 ÷ 6
    ?
  7. 7
    360 ÷ 4
    ?
  8. 8
    640 ÷ 8
    ?
  9. 9
    720 ÷ 8
    ?
  10. 10
    124 ÷ 2
    ?
Full answer key
  1. 284 ÷ 4 = 71
  2. 315 ÷ 7 = 45
  3. 324 ÷ 9 = 36
  4. 123 ÷ 3 = 41
  5. 98 ÷ 7 = 14
  6. 246 ÷ 6 = 41
  7. 360 ÷ 4 = 90
  8. 640 ÷ 8 = 80
  9. 720 ÷ 8 = 90
  10. 124 ÷ 2 = 62

This page is one drill. The app is the whole programme.

Kani Math is a full mental-arithmetic course, not a single exercise. Free to start, no signup, and it runs on the web, Android and iPhone.

  • ✓Nine levels, from the first bead to division
  • ✓Guided lessons that teach the technique, not just drills
  • ✓Flash, listening and abacus drills at a speed you set
  • ✓Versus matches against friends or the computer
  • ✓Say your answers out loud — the app listens and marks them
  • ✓Streaks, coins and badges, with parent and teacher views
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Practise it now

The same drill, live in your browser, with a virtual soroban and instant marking.

This problem type runs in the full app rather than the inline drill:

Open in the app ↗

Explore the free virtual abacus →How to use an abacus →Mental Math Drill →

About this drill

Division is the reverse of the multiplication procedure and the final technique on the ladder. The dividend goes on the right, the divisor on the left, and each quotient digit is found, placed, and immediately subtracted as a product. When the dividend rods reach zero, the quotient is already sitting there fully formed — there is no final assembly step.

The samples below all divide exactly, with no remainder, which is where division is taught from. Remainders and decimal quotients are the same procedure with the reference rod shifted, and they follow once the exact case is reliable.

How to practise it

  1. 1Place the dividend on the right group of rods, divisor on the left.
  2. 2Estimate the first quotient digit and place it — do not subtract first.
  3. 3Subtract the product immediately; correct the digit if it overshoots.
  4. 4Continue until the dividend rods are clear; the quotient is the answer.
Where this sits

Level 9 — Grand Level

Division and advanced mental math.

Teaches: Division, advanced multi-step mental math, competition-grade speed

Find your level with the free placement exam →

Questions

Why is division taught last?
It needs multiplication to be automatic, since every quotient digit costs a multiply-and-subtract. It also requires comfort with correcting a placed digit, which is a different habit from the rest of the ladder.
What if the quotient digit is wrong?
You adjust it on the rods and re-subtract the difference. Unlike written long division there is nothing to erase — this is why over-estimating is cheap here.
Do these drills have remainders?
No. Every sample divides exactly. Remainders are introduced separately once the exact procedure is automatic.
Is mental division realistic?
Yes at two-by-one, and it is the standard target at this level. Beyond that it stays possible but the practice cost rises steeply.
Learn the techniqueAbacus divisionWalk through it on the beads →