Question

Divide 577 by 14 using partial quotients

Answer 1

41 remainder 3

Explanation:

Definitions:

• The dividend is the number that is divided by the divisor.
• The divisor is the number that divides the dividend.
• The quotient is the result obtained by the division.
• The remainder is the number left over.

To divide a number by partial quotients:

1. Subtract an easy multiple of the divisor from the dividend (multiples of 100, 10 etc.)
2. Repeat step 1 until the remainder is zero or less than the divisor.
3. Add up the multipliers - this is the quotient.

`\begin{array}rcrrr\cline{2-5}14&\smash{\big)}&5&7&7\\\vphantom{\frac12}&-&1&4&0&\leftarrow&10*14\\ \cline{3-5}&&4&3&7\\\vphantom{\frac12}&-&1&4&0&\leftarrow&10*14\\ \cline{3-5}&&2&9&7\\\vphantom{\frac12}&-&1&4&0&\leftarrow&10*14\\ \cline{3-5}&&1&5&7\\\vphantom{\frac12} &-&1&4&0&\leftarrow&10*14\\ \cline{3-5}&&&1&7\\&&-&1&4&\leftarrow&\;\;1*14\\ \cline{3-5} \cline{6-7}\vphantom{\frac12}&&&&3&&41\end{array}`

Therefore, the result of dividing 577 by 14 is 41 r 3.