Solve 2616/24

$$\frac{ 2616 }{ 24 }$$

Evaluate

$$109$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2616

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2616}\\\end{array}$$

Since 2 is less than 24, use the next digit 6 from dividend 2616 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2616}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 2616

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2616}\\\end{array}$$

Find closest multiple of 24 to 26. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 26 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)2616}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}2\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2616

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)2616}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}21\\\end{array}$$

Since 21 is less than 24, use the next digit 6 from dividend 2616 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}010\phantom{6}\\24\overline{)2616}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}21\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2616

$$\begin{array}{l}\phantom{24)}010\phantom{7}\\24\overline{)2616}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}216\\\end{array}$$

Find closest multiple of 24 to 216. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 216 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{24)}0109\phantom{8}\\24\overline{)2616}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}216\\\phantom{24)}\underline{\phantom{9}216\phantom{}}\\\phantom{24)9999}0\\\end{array}$$

Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 0109 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 109.

$$\text{Quotient: }109 \text{Reminder: }0$$

Factor

$$109$$