Solve 34560div100

$$34560 \div 100$$

Evaluate

$$\frac{1728}{5}=345.6$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34560

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)34560}\\\end{array}$$

Since 3 is less than 100, use the next digit 4 from dividend 34560 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)34560}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34560

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)34560}\\\end{array}$$

Since 34 is less than 100, use the next digit 5 from dividend 34560 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)34560}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 34560

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)34560}\\\end{array}$$

Find closest multiple of 100 to 345. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 345 to get reminder 45. Add 3 to quotient.

$$\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)34560}\\\phantom{100)}\underline{\phantom{}300\phantom{99}}\\\phantom{100)9}45\\\end{array}$$

Use the 4^{th} digit 6 from dividend 34560

$$\begin{array}{l}\phantom{100)}003\phantom{7}\\100\overline{)34560}\\\phantom{100)}\underline{\phantom{}300\phantom{99}}\\\phantom{100)9}456\\\end{array}$$

Find closest multiple of 100 to 456. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 456 to get reminder 56. Add 4 to quotient.

$$\begin{array}{l}\phantom{100)}0034\phantom{8}\\100\overline{)34560}\\\phantom{100)}\underline{\phantom{}300\phantom{99}}\\\phantom{100)9}456\\\phantom{100)}\underline{\phantom{9}400\phantom{9}}\\\phantom{100)99}56\\\end{array}$$

Use the 5^{th} digit 0 from dividend 34560

$$\begin{array}{l}\phantom{100)}0034\phantom{9}\\100\overline{)34560}\\\phantom{100)}\underline{\phantom{}300\phantom{99}}\\\phantom{100)9}456\\\phantom{100)}\underline{\phantom{9}400\phantom{9}}\\\phantom{100)99}560\\\end{array}$$

Find closest multiple of 100 to 560. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 560 to get reminder 60. Add 5 to quotient.

$$\begin{array}{l}\phantom{100)}00345\phantom{10}\\100\overline{)34560}\\\phantom{100)}\underline{\phantom{}300\phantom{99}}\\\phantom{100)9}456\\\phantom{100)}\underline{\phantom{9}400\phantom{9}}\\\phantom{100)99}560\\\phantom{100)}\underline{\phantom{99}500\phantom{}}\\\phantom{100)999}60\\\end{array}$$

Since 60 is less than 100, stop the division. The reminder is 60. The topmost line 00345 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 345.

$$\text{Quotient: }345 \text{Reminder: }60$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {3}}{5} = 345\frac{3}{5} = 345.6$$