Solve 14563div1000

$$14563 \div 1000$$

Evaluate

$$\frac{14563}{1000}=14.563$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14563

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)14563}\\\end{array}$$

Since 1 is less than 1000, use the next digit 4 from dividend 14563 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)14563}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14563

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)14563}\\\end{array}$$

Since 14 is less than 1000, use the next digit 5 from dividend 14563 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)14563}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 14563

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)14563}\\\end{array}$$

Since 145 is less than 1000, use the next digit 6 from dividend 14563 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)14563}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 14563

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)14563}\\\end{array}$$

Find closest multiple of 1000 to 1456. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1456 to get reminder 456. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)14563}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}456\\\end{array}$$

Use the 5^{th} digit 3 from dividend 14563

$$\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)14563}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}4563\\\end{array}$$

Find closest multiple of 1000 to 4563. We see that 4 \times 1000 = 4000 is the nearest. Now subtract 4000 from 4563 to get reminder 563. Add 4 to quotient.

$$\begin{array}{l}\phantom{1000)}00014\phantom{10}\\1000\overline{)14563}\\\phantom{1000)}\underline{\phantom{}1000\phantom{9}}\\\phantom{1000)9}4563\\\phantom{1000)}\underline{\phantom{9}4000\phantom{}}\\\phantom{1000)99}563\\\end{array}$$

Since 563 is less than 1000, stop the division. The reminder is 563. The topmost line 00014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }563$$

Factor

$$\frac{14563}{2 ^ {3} \cdot 5 ^ {3}} = 14\frac{563}{1000} = 14.563$$