Solve 69,234/2,819

$$\frac { 69,234 } { 2,819 }$$

Evaluate

$$\frac{69234}{2819}\approx 24.559772969$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 69234

$$\begin{array}{l}\phantom{2819)}\phantom{1}\\2819\overline{)69234}\\\end{array}$$

Since 6 is less than 2819, use the next digit 9 from dividend 69234 and add 0 to the quotient

$$\begin{array}{l}\phantom{2819)}0\phantom{2}\\2819\overline{)69234}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 69234

$$\begin{array}{l}\phantom{2819)}0\phantom{3}\\2819\overline{)69234}\\\end{array}$$

Since 69 is less than 2819, use the next digit 2 from dividend 69234 and add 0 to the quotient

$$\begin{array}{l}\phantom{2819)}00\phantom{4}\\2819\overline{)69234}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 69234

$$\begin{array}{l}\phantom{2819)}00\phantom{5}\\2819\overline{)69234}\\\end{array}$$

Since 692 is less than 2819, use the next digit 3 from dividend 69234 and add 0 to the quotient

$$\begin{array}{l}\phantom{2819)}000\phantom{6}\\2819\overline{)69234}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 69234

$$\begin{array}{l}\phantom{2819)}000\phantom{7}\\2819\overline{)69234}\\\end{array}$$

Find closest multiple of 2819 to 6923. We see that 2 \times 2819 = 5638 is the nearest. Now subtract 5638 from 6923 to get reminder 1285. Add 2 to quotient.

$$\begin{array}{l}\phantom{2819)}0002\phantom{8}\\2819\overline{)69234}\\\phantom{2819)}\underline{\phantom{}5638\phantom{9}}\\\phantom{2819)}1285\\\end{array}$$

Use the 5^{th} digit 4 from dividend 69234

$$\begin{array}{l}\phantom{2819)}0002\phantom{9}\\2819\overline{)69234}\\\phantom{2819)}\underline{\phantom{}5638\phantom{9}}\\\phantom{2819)}12854\\\end{array}$$

Find closest multiple of 2819 to 12854. We see that 4 \times 2819 = 11276 is the nearest. Now subtract 11276 from 12854 to get reminder 1578. Add 4 to quotient.

$$\begin{array}{l}\phantom{2819)}00024\phantom{10}\\2819\overline{)69234}\\\phantom{2819)}\underline{\phantom{}5638\phantom{9}}\\\phantom{2819)}12854\\\phantom{2819)}\underline{\phantom{}11276\phantom{}}\\\phantom{2819)9}1578\\\end{array}$$

Since 1578 is less than 2819, stop the division. The reminder is 1578. The topmost line 00024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }1578$$

Factor

$$\frac{2 \cdot 3 \cdot 11 \cdot 1049}{2819} = 24\frac{1578}{2819} = 24.559772969137992$$