Solve 8967/584

$$\frac { 8967 } { 584 }$$

Evaluate

$$\frac{8967}{584}\approx 15.354452055$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8967

$$\begin{array}{l}\phantom{584)}\phantom{1}\\584\overline{)8967}\\\end{array}$$

Since 8 is less than 584, use the next digit 9 from dividend 8967 and add 0 to the quotient

$$\begin{array}{l}\phantom{584)}0\phantom{2}\\584\overline{)8967}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8967

$$\begin{array}{l}\phantom{584)}0\phantom{3}\\584\overline{)8967}\\\end{array}$$

Since 89 is less than 584, use the next digit 6 from dividend 8967 and add 0 to the quotient

$$\begin{array}{l}\phantom{584)}00\phantom{4}\\584\overline{)8967}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 8967

$$\begin{array}{l}\phantom{584)}00\phantom{5}\\584\overline{)8967}\\\end{array}$$

Find closest multiple of 584 to 896. We see that 1 \times 584 = 584 is the nearest. Now subtract 584 from 896 to get reminder 312. Add 1 to quotient.

$$\begin{array}{l}\phantom{584)}001\phantom{6}\\584\overline{)8967}\\\phantom{584)}\underline{\phantom{}584\phantom{9}}\\\phantom{584)}312\\\end{array}$$

Use the 4^{th} digit 7 from dividend 8967

$$\begin{array}{l}\phantom{584)}001\phantom{7}\\584\overline{)8967}\\\phantom{584)}\underline{\phantom{}584\phantom{9}}\\\phantom{584)}3127\\\end{array}$$

Find closest multiple of 584 to 3127. We see that 5 \times 584 = 2920 is the nearest. Now subtract 2920 from 3127 to get reminder 207. Add 5 to quotient.

$$\begin{array}{l}\phantom{584)}0015\phantom{8}\\584\overline{)8967}\\\phantom{584)}\underline{\phantom{}584\phantom{9}}\\\phantom{584)}3127\\\phantom{584)}\underline{\phantom{}2920\phantom{}}\\\phantom{584)9}207\\\end{array}$$

Since 207 is less than 584, stop the division. The reminder is 207. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }207$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 61}{2 ^ {3} \cdot 73} = 15\frac{207}{584} = 15.354452054794521$$