Solve 750div17

$$750 \div 17$$

Evaluate

$$\frac{750}{17}\approx 44.117647059$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 750

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)750}\\\end{array}$$

Since 7 is less than 17, use the next digit 5 from dividend 750 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)750}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 750

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)750}\\\end{array}$$

Find closest multiple of 17 to 75. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 75 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)750}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)9}7\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 750

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)750}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)9}70\\\end{array}$$

Find closest multiple of 17 to 70. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 70 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{17)}044\phantom{6}\\17\overline{)750}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)9}70\\\phantom{17)}\underline{\phantom{9}68\phantom{}}\\\phantom{17)99}2\\\end{array}$$

Since 2 is less than 17, stop the division. The reminder is 2. The topmost line 044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }2$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {3}}{17} = 44\frac{2}{17} = 44.11764705882353$$