Solve 53760div1000

$$53760 \div 1000$$

Evaluate

$$\frac{1344}{25}=53.76$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 53760

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)53760}\\\end{array}$$

Since 5 is less than 1000, use the next digit 3 from dividend 53760 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)53760}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 53760

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)53760}\\\end{array}$$

Since 53 is less than 1000, use the next digit 7 from dividend 53760 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)53760}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 53760

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)53760}\\\end{array}$$

Since 537 is less than 1000, use the next digit 6 from dividend 53760 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)53760}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 53760

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)53760}\\\end{array}$$

Find closest multiple of 1000 to 5376. We see that 5 \times 1000 = 5000 is the nearest. Now subtract 5000 from 5376 to get reminder 376. Add 5 to quotient.

$$\begin{array}{l}\phantom{1000)}0005\phantom{8}\\1000\overline{)53760}\\\phantom{1000)}\underline{\phantom{}5000\phantom{9}}\\\phantom{1000)9}376\\\end{array}$$

Use the 5^{th} digit 0 from dividend 53760

$$\begin{array}{l}\phantom{1000)}0005\phantom{9}\\1000\overline{)53760}\\\phantom{1000)}\underline{\phantom{}5000\phantom{9}}\\\phantom{1000)9}3760\\\end{array}$$

Find closest multiple of 1000 to 3760. We see that 3 \times 1000 = 3000 is the nearest. Now subtract 3000 from 3760 to get reminder 760. Add 3 to quotient.

$$\begin{array}{l}\phantom{1000)}00053\phantom{10}\\1000\overline{)53760}\\\phantom{1000)}\underline{\phantom{}5000\phantom{9}}\\\phantom{1000)9}3760\\\phantom{1000)}\underline{\phantom{9}3000\phantom{}}\\\phantom{1000)99}760\\\end{array}$$

Since 760 is less than 1000, stop the division. The reminder is 760. The topmost line 00053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.

$$\text{Quotient: }53 \text{Reminder: }760$$

Factor

$$\frac{2 ^ {6} \cdot 3 \cdot 7}{5 ^ {2}} = 53\frac{19}{25} = 53.76$$