Solve 3321/17

$$\frac{ 3321 }{ 17 }$$

Evaluate

$$\frac{3321}{17}\approx 195.352941176$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3321

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)3321}\\\end{array}$$

Since 3 is less than 17, use the next digit 3 from dividend 3321 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)3321}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 3321

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)3321}\\\end{array}$$

Find closest multiple of 17 to 33. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 33 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)3321}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}16\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3321

$$\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)3321}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}162\\\end{array}$$

Find closest multiple of 17 to 162. We see that 9 \times 17 = 153 is the nearest. Now subtract 153 from 162 to get reminder 9. Add 9 to quotient.

$$\begin{array}{l}\phantom{17)}019\phantom{6}\\17\overline{)3321}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}162\\\phantom{17)}\underline{\phantom{}153\phantom{9}}\\\phantom{17)99}9\\\end{array}$$

Use the 4^{th} digit 1 from dividend 3321

$$\begin{array}{l}\phantom{17)}019\phantom{7}\\17\overline{)3321}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}162\\\phantom{17)}\underline{\phantom{}153\phantom{9}}\\\phantom{17)99}91\\\end{array}$$

Find closest multiple of 17 to 91. We see that 5 \times 17 = 85 is the nearest. Now subtract 85 from 91 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{17)}0195\phantom{8}\\17\overline{)3321}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)}162\\\phantom{17)}\underline{\phantom{}153\phantom{9}}\\\phantom{17)99}91\\\phantom{17)}\underline{\phantom{99}85\phantom{}}\\\phantom{17)999}6\\\end{array}$$

Since 6 is less than 17, stop the division. The reminder is 6. The topmost line 0195 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 195.

$$\text{Quotient: }195 \text{Reminder: }6$$

Factor

$$\frac{3 ^ {4} \cdot 41}{17} = 195\frac{6}{17} = 195.35294117647058$$