Solve 8640div356

$$8640 \div 356$$

Evaluate

$$\frac{2160}{89}\approx 24.269662921$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8640

$$\begin{array}{l}\phantom{356)}\phantom{1}\\356\overline{)8640}\\\end{array}$$

Since 8 is less than 356, use the next digit 6 from dividend 8640 and add 0 to the quotient

$$\begin{array}{l}\phantom{356)}0\phantom{2}\\356\overline{)8640}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 8640

$$\begin{array}{l}\phantom{356)}0\phantom{3}\\356\overline{)8640}\\\end{array}$$

Since 86 is less than 356, use the next digit 4 from dividend 8640 and add 0 to the quotient

$$\begin{array}{l}\phantom{356)}00\phantom{4}\\356\overline{)8640}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 8640

$$\begin{array}{l}\phantom{356)}00\phantom{5}\\356\overline{)8640}\\\end{array}$$

Find closest multiple of 356 to 864. We see that 2 \times 356 = 712 is the nearest. Now subtract 712 from 864 to get reminder 152. Add 2 to quotient.

$$\begin{array}{l}\phantom{356)}002\phantom{6}\\356\overline{)8640}\\\phantom{356)}\underline{\phantom{}712\phantom{9}}\\\phantom{356)}152\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8640

$$\begin{array}{l}\phantom{356)}002\phantom{7}\\356\overline{)8640}\\\phantom{356)}\underline{\phantom{}712\phantom{9}}\\\phantom{356)}1520\\\end{array}$$

Find closest multiple of 356 to 1520. We see that 4 \times 356 = 1424 is the nearest. Now subtract 1424 from 1520 to get reminder 96. Add 4 to quotient.

$$\begin{array}{l}\phantom{356)}0024\phantom{8}\\356\overline{)8640}\\\phantom{356)}\underline{\phantom{}712\phantom{9}}\\\phantom{356)}1520\\\phantom{356)}\underline{\phantom{}1424\phantom{}}\\\phantom{356)99}96\\\end{array}$$

Since 96 is less than 356, stop the division. The reminder is 96. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }96$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {3} \cdot 5}{89} = 24\frac{24}{89} = 24.269662921348313$$