Long Division – Four-Digit by One-Digit

Explanation

\[\begin{array}{r} 4 \enspace 1 \enspace 9 \\ \hline 6 \big) 2 \enspace 5 \enspace 1 \enspace 4 \\ \underline{-2 \enspace 4} \phantom{\enspace 0 \enspace 0} \\ 1 \enspace 1 \phantom{\enspace 0} \\ \underline{-\enspace 6} \phantom{\enspace 0} \\ 5 \enspace 4 \\ \underline{-5 \enspace 4} \\ 0 \\ \end{array} \]

Steps: estimate → multiply → subtract → bring down. Repeat until done. Check: \(419 \times 6 = 2{,}514\) ✓