Solve 2719div17

$$2719 \div 17$$

Evaluate

$$\frac{2719}{17}\approx 159.941176471$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2719

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)2719}\\\end{array}$$

Since 2 is less than 17, use the next digit 7 from dividend 2719 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)2719}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 2719

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)2719}\\\end{array}$$

Find closest multiple of 17 to 27. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 27 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)2719}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}10\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2719

$$\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)2719}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}101\\\end{array}$$

Find closest multiple of 17 to 101. We see that 5 \times 17 = 85 is the nearest. Now subtract 85 from 101 to get reminder 16. Add 5 to quotient.

$$\begin{array}{l}\phantom{17)}015\phantom{6}\\17\overline{)2719}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}101\\\phantom{17)}\underline{\phantom{9}85\phantom{9}}\\\phantom{17)9}16\\\end{array}$$

Use the 4^{th} digit 9 from dividend 2719

$$\begin{array}{l}\phantom{17)}015\phantom{7}\\17\overline{)2719}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}101\\\phantom{17)}\underline{\phantom{9}85\phantom{9}}\\\phantom{17)9}169\\\end{array}$$

Find closest multiple of 17 to 169. We see that 9 \times 17 = 153 is the nearest. Now subtract 153 from 169 to get reminder 16. Add 9 to quotient.

$$\begin{array}{l}\phantom{17)}0159\phantom{8}\\17\overline{)2719}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}101\\\phantom{17)}\underline{\phantom{9}85\phantom{9}}\\\phantom{17)9}169\\\phantom{17)}\underline{\phantom{9}153\phantom{}}\\\phantom{17)99}16\\\end{array}$$

Since 16 is less than 17, stop the division. The reminder is 16. The topmost line 0159 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 159.

$$\text{Quotient: }159 \text{Reminder: }16$$

Factor

$$\frac{2719}{17} = 159\frac{16}{17} = 159.94117647058823$$