Dividing decimals worksheets

The whole lesson is where the point goes, and this sheet says it as geometry: the point in the answer sits directly above the point in the number, on the line between the same two columns. The grid draws it there before the child starts, so what is left to do is the long division they already know — the working under the bar never sees a point at all.

Every answer is exact, and none was found by dividing. Each division was built backwards from its answer — the answer drawn, multiplied by the divisor, and the product written under the bar — so nothing on the key is rounded, nothing recurs, and an answer under one is written 0.23 with its leading zero, the way a child is asked to write it. The builder turns the grid off, or steps it up to the marked and shaded levels the long-division pages use.

The answers were worked out when the problems were, so the key is the same page with the answers drawn in rather than a second attempt at the same questions — there is no way for the two to disagree. The number in the footer is the seed the sheet was built from: it is printed so that the identical sheet can be had again next week, rather than one that merely looks like it.

This page is one sheet out of a family that can print thousands, and the settings behind it — how many problems, how big the numbers get, how they are laid out, whether there is room to work — are all switches. The builder link at the top of the page carries this sheet’s own settings, so the bench opens on exactly the sheet here rather than on a blank one.

The configuration travels in the address bar rather than on a server, so the link can be bookmarked or sent to somebody as it stands — and what they open is this sheet, down to the seed, rather than another one like it.

A decimal division is a long division with the point carried up, and a long division is a stack of table facts. The Grid drills the facts.