Solve 3960div45

$$3960 \div 45$$

Evaluate

$$88$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3960

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)3960}\\\end{array}$$

Since 3 is less than 45, use the next digit 9 from dividend 3960 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)3960}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3960

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)3960}\\\end{array}$$

Since 39 is less than 45, use the next digit 6 from dividend 3960 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)3960}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3960

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)3960}\\\end{array}$$

Find closest multiple of 45 to 396. We see that 8 \times 45 = 360 is the nearest. Now subtract 360 from 396 to get reminder 36. Add 8 to quotient.

$$\begin{array}{l}\phantom{45)}008\phantom{6}\\45\overline{)3960}\\\phantom{45)}\underline{\phantom{}360\phantom{9}}\\\phantom{45)9}36\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3960

$$\begin{array}{l}\phantom{45)}008\phantom{7}\\45\overline{)3960}\\\phantom{45)}\underline{\phantom{}360\phantom{9}}\\\phantom{45)9}360\\\end{array}$$

Find closest multiple of 45 to 360. We see that 8 \times 45 = 360 is the nearest. Now subtract 360 from 360 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{45)}0088\phantom{8}\\45\overline{)3960}\\\phantom{45)}\underline{\phantom{}360\phantom{9}}\\\phantom{45)9}360\\\phantom{45)}\underline{\phantom{9}360\phantom{}}\\\phantom{45)9999}0\\\end{array}$$

Since 0 is less than 45, stop the division. The reminder is 0. The topmost line 0088 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 88.

$$\text{Quotient: }88 \text{Reminder: }0$$

Factor

$$2^{3}\times 11$$