The club needs to bring 728 supporters to the county final, and every minibus in the fleet seats 14 people. Roughly how many minibuses do we need? Before we work it out exactly, just give me your best rough guess.

We work three long divisions, one at a time. Watch how we estimate each digit first, then check by multiplying. Notice what happens when an estimate turns out too high.

Now we work these together on the board by hand: first 672 ÷ 16, then 837 ÷ 27, then 1104 ÷ 23. For each one we do the full long division on the board — estimate first, then multiply, subtract and bring down — to get the quotient (your answer). Say the estimate aloud before we commit to a digit. The interactive on screen is only our check: once we have the quotient, we multiply it by the divisor to make sure we land back on the starting number.

Today we work through these together on the board: 864 ÷ 24, then 1265 ÷ 23, and finally the stretch, 1794 ÷ 39, which divides exactly with nothing left over. Each one gets a step trickier, so estimate first, then build the quotient on the board and check it by multiplying back. We do the dividing by hand first — the tool is only there to confirm each answer.