Solve 289:17

$$289 : 17$$

Evaluate

$$17$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 289

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)289}\\\end{array}$$

Since 2 is less than 17, use the next digit 8 from dividend 289 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)289}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 289

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)289}\\\end{array}$$

Find closest multiple of 17 to 28. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 28 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)289}\\\phantom{17)}\underline{\phantom{}17\phantom{9}}\\\phantom{17)}11\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 289

$$\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)289}\\\phantom{17)}\underline{\phantom{}17\phantom{9}}\\\phantom{17)}119\\\end{array}$$

Find closest multiple of 17 to 119. We see that 7 \times 17 = 119 is the nearest. Now subtract 119 from 119 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{17)}017\phantom{6}\\17\overline{)289}\\\phantom{17)}\underline{\phantom{}17\phantom{9}}\\\phantom{17)}119\\\phantom{17)}\underline{\phantom{}119\phantom{}}\\\phantom{17)999}0\\\end{array}$$

Since 0 is less than 17, stop the division. The reminder is 0. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }0$$

Factor

$$17$$