✏️ Long Division 4 Digit by 1 Digit

About Long Division 4 Digit by 1 Digit

By Grade 5 a child should be able to divide a four-digit number by a single digit without reaching for a calculator, and the formal method is what makes that possible. It is also unforgiving: work left to right, carry each remainder into the next digit, and record a zero in the quotient when a digit will not divide — miss that zero and every subsequent digit is in the wrong place. This worksheet supplies the practice that makes the sequence automatic. The early levels divide exactly, so a child can concentrate on the procedure without also deciding what a leftover means. Remainders appear from the middle level, as the objective specifies, and every remainder is smaller than the divisor — the check a child should be making anyway, since a remainder as large as the divisor means another whole group could have been taken. Dividends stay genuinely four-digit throughout and divisors grow across the levels. Twelve questions per page in two columns with room to set the working out. Each level prints as a clean A4 sheet in black and white and downloads with its own separate answer key giving the quotient and, where there is one, the remainder. Its on-screen twin is Long Division Arcade.

Common questions

When do remainders appear?

From the middle level. The early levels divide exactly so the procedure can be learned on its own.

Can a remainder be as large as the divisor?

No — that would mean another whole group could be taken, and the division is not finished.

What is the commonest error?

Missing the zero in the quotient when a digit will not divide. Every digit after it then lands in the wrong place.

Are all the dividends four digits?

Yes, throughout all five levels.