Solve 3322div13

$$3322 \div 13$$

Evaluate

$$\frac{3322}{13}\approx 255.538461538$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3322

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)3322}\\\end{array}$$

Since 3 is less than 13, use the next digit 3 from dividend 3322 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)3322}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 3322

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)3322}\\\end{array}$$

Find closest multiple of 13 to 33. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 33 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)3322}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}7\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3322

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)3322}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}72\\\end{array}$$

Find closest multiple of 13 to 72. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 72 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}025\phantom{6}\\13\overline{)3322}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}72\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}7\\\end{array}$$

Use the 4^{th} digit 2 from dividend 3322

$$\begin{array}{l}\phantom{13)}025\phantom{7}\\13\overline{)3322}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}72\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}72\\\end{array}$$

Find closest multiple of 13 to 72. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 72 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}0255\phantom{8}\\13\overline{)3322}\\\phantom{13)}\underline{\phantom{}26\phantom{99}}\\\phantom{13)9}72\\\phantom{13)}\underline{\phantom{9}65\phantom{9}}\\\phantom{13)99}72\\\phantom{13)}\underline{\phantom{99}65\phantom{}}\\\phantom{13)999}7\\\end{array}$$

Since 7 is less than 13, stop the division. The reminder is 7. The topmost line 0255 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 255.

$$\text{Quotient: }255 \text{Reminder: }7$$

Factor

$$\frac{2 \cdot 11 \cdot 151}{13} = 255\frac{7}{13} = 255.53846153846155$$