Solve 3564div45

$$3564 \div 45$$

Evaluate

$$\frac{396}{5}=79.2$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3564

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)3564}\\\end{array}$$

Since 3 is less than 45, use the next digit 5 from dividend 3564 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)3564}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 3564

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)3564}\\\end{array}$$

Since 35 is less than 45, use the next digit 6 from dividend 3564 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)3564}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3564

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)3564}\\\end{array}$$

Find closest multiple of 45 to 356. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 356 to get reminder 41. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}007\phantom{6}\\45\overline{)3564}\\\phantom{45)}\underline{\phantom{}315\phantom{9}}\\\phantom{45)9}41\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3564

$$\begin{array}{l}\phantom{45)}007\phantom{7}\\45\overline{)3564}\\\phantom{45)}\underline{\phantom{}315\phantom{9}}\\\phantom{45)9}414\\\end{array}$$

Find closest multiple of 45 to 414. We see that 9 \times 45 = 405 is the nearest. Now subtract 405 from 414 to get reminder 9. Add 9 to quotient.

$$\begin{array}{l}\phantom{45)}0079\phantom{8}\\45\overline{)3564}\\\phantom{45)}\underline{\phantom{}315\phantom{9}}\\\phantom{45)9}414\\\phantom{45)}\underline{\phantom{9}405\phantom{}}\\\phantom{45)999}9\\\end{array}$$

Since 9 is less than 45, stop the division. The reminder is 9. The topmost line 0079 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 79.

$$\text{Quotient: }79 \text{Reminder: }9$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 11}{5} = 79\frac{1}{5} = 79.2$$