Solve 7874/17

$$\frac { 7874 } { 17 }$$

Evaluate

$$\frac{7874}{17}\approx 463.176470588$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7874

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)7874}\\\end{array}$$

Since 7 is less than 17, use the next digit 8 from dividend 7874 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)7874}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7874

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)7874}\\\end{array}$$

Find closest multiple of 17 to 78. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 78 to get reminder 10. Add 4 to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)7874}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)}10\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 7874

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)7874}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)}107\\\end{array}$$

Find closest multiple of 17 to 107. We see that 6 \times 17 = 102 is the nearest. Now subtract 102 from 107 to get reminder 5. Add 6 to quotient.

$$\begin{array}{l}\phantom{17)}046\phantom{6}\\17\overline{)7874}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)}107\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)99}5\\\end{array}$$

Use the 4^{th} digit 4 from dividend 7874

$$\begin{array}{l}\phantom{17)}046\phantom{7}\\17\overline{)7874}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)}107\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)99}54\\\end{array}$$

Find closest multiple of 17 to 54. We see that 3 \times 17 = 51 is the nearest. Now subtract 51 from 54 to get reminder 3. Add 3 to quotient.

$$\begin{array}{l}\phantom{17)}0463\phantom{8}\\17\overline{)7874}\\\phantom{17)}\underline{\phantom{}68\phantom{99}}\\\phantom{17)}107\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)99}54\\\phantom{17)}\underline{\phantom{99}51\phantom{}}\\\phantom{17)999}3\\\end{array}$$

Since 3 is less than 17, stop the division. The reminder is 3. The topmost line 0463 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 463.

$$\text{Quotient: }463 \text{Reminder: }3$$

Factor

$$\frac{2 \cdot 31 \cdot 127}{17} = 463\frac{3}{17} = 463.1764705882353$$