Solve 3278/149

$$\frac { 3278 } { 149 }$$

Evaluate

$$22$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3278

$$\begin{array}{l}\phantom{149)}\phantom{1}\\149\overline{)3278}\\\end{array}$$

Since 3 is less than 149, use the next digit 2 from dividend 3278 and add 0 to the quotient

$$\begin{array}{l}\phantom{149)}0\phantom{2}\\149\overline{)3278}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3278

$$\begin{array}{l}\phantom{149)}0\phantom{3}\\149\overline{)3278}\\\end{array}$$

Since 32 is less than 149, use the next digit 7 from dividend 3278 and add 0 to the quotient

$$\begin{array}{l}\phantom{149)}00\phantom{4}\\149\overline{)3278}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3278

$$\begin{array}{l}\phantom{149)}00\phantom{5}\\149\overline{)3278}\\\end{array}$$

Find closest multiple of 149 to 327. We see that 2 \times 149 = 298 is the nearest. Now subtract 298 from 327 to get reminder 29. Add 2 to quotient.

$$\begin{array}{l}\phantom{149)}002\phantom{6}\\149\overline{)3278}\\\phantom{149)}\underline{\phantom{}298\phantom{9}}\\\phantom{149)9}29\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3278

$$\begin{array}{l}\phantom{149)}002\phantom{7}\\149\overline{)3278}\\\phantom{149)}\underline{\phantom{}298\phantom{9}}\\\phantom{149)9}298\\\end{array}$$

Find closest multiple of 149 to 298. We see that 2 \times 149 = 298 is the nearest. Now subtract 298 from 298 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{149)}0022\phantom{8}\\149\overline{)3278}\\\phantom{149)}\underline{\phantom{}298\phantom{9}}\\\phantom{149)9}298\\\phantom{149)}\underline{\phantom{9}298\phantom{}}\\\phantom{149)9999}0\\\end{array}$$

Since 0 is less than 149, stop the division. The reminder is 0. The topmost line 0022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.

$$\text{Quotient: }22 \text{Reminder: }0$$

Factor

$$2\times 11$$