Solve 15265/1000

$$\frac { 15265 } { 1000 }$$

Evaluate

$$\frac{3053}{200}=15.265$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15265

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)15265}\\\end{array}$$

Since 1 is less than 1000, use the next digit 5 from dividend 15265 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)15265}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15265

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)15265}\\\end{array}$$

Since 15 is less than 1000, use the next digit 2 from dividend 15265 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)15265}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 15265

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)15265}\\\end{array}$$

Since 152 is less than 1000, use the next digit 6 from dividend 15265 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)15265}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 15265

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)15265}\\\end{array}$$

Find closest multiple of 1000 to 1526. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1526 to get reminder 526. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)15265}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}526\\\end{array}$$

Use the 5^{th} digit 5 from dividend 15265

$$\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)15265}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}5265\\\end{array}$$

Find closest multiple of 1000 to 5265. We see that 5 \times 1000 = 5000 is the nearest. Now subtract 5000 from 5265 to get reminder 265. Add 5 to quotient.

$$\begin{array}{l}\phantom{1000)}00015\phantom{10}\\1000\overline{)15265}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}5265\\\phantom{1000)}\underline{\phantom{9}5000\phantom{}}\\\phantom{1000)99}265\\\end{array}$$

Since 265 is less than 1000, stop the division. The reminder is 265. The topmost line 00015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }265$$

Factor

$$\frac{43 \cdot 71}{2 ^ {3} \cdot 5 ^ {2}} = 15\frac{53}{200} = 15.265$$