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