Solve 4585div17

$$4585 \div 17$$

Evaluate

$$\frac{4585}{17}\approx 269.705882353$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4585

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)4585}\\\end{array}$$

Since 4 is less than 17, use the next digit 5 from dividend 4585 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)4585}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 4585

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)4585}\\\end{array}$$

Find closest multiple of 17 to 45. We see that 2 \times 17 = 34 is the nearest. Now subtract 34 from 45 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{17)}02\phantom{4}\\17\overline{)4585}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)}11\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 4585

$$\begin{array}{l}\phantom{17)}02\phantom{5}\\17\overline{)4585}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)}118\\\end{array}$$

Find closest multiple of 17 to 118. We see that 6 \times 17 = 102 is the nearest. Now subtract 102 from 118 to get reminder 16. Add 6 to quotient.

$$\begin{array}{l}\phantom{17)}026\phantom{6}\\17\overline{)4585}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)}118\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)9}16\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4585

$$\begin{array}{l}\phantom{17)}026\phantom{7}\\17\overline{)4585}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)}118\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)9}165\\\end{array}$$

Find closest multiple of 17 to 165. We see that 9 \times 17 = 153 is the nearest. Now subtract 153 from 165 to get reminder 12. Add 9 to quotient.

$$\begin{array}{l}\phantom{17)}0269\phantom{8}\\17\overline{)4585}\\\phantom{17)}\underline{\phantom{}34\phantom{99}}\\\phantom{17)}118\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)9}165\\\phantom{17)}\underline{\phantom{9}153\phantom{}}\\\phantom{17)99}12\\\end{array}$$

Since 12 is less than 17, stop the division. The reminder is 12. The topmost line 0269 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 269.

$$\text{Quotient: }269 \text{Reminder: }12$$

Factor

$$\frac{5 \cdot 7 \cdot 131}{17} = 269\frac{12}{17} = 269.70588235294116$$