Solve 50148div301

$$50148 \div 301$$

Evaluate

$$\frac{7164}{43}\approx 166.604651163$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 50148

$$\begin{array}{l}\phantom{301)}\phantom{1}\\301\overline{)50148}\\\end{array}$$

Since 5 is less than 301, use the next digit 0 from dividend 50148 and add 0 to the quotient

$$\begin{array}{l}\phantom{301)}0\phantom{2}\\301\overline{)50148}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 50148

$$\begin{array}{l}\phantom{301)}0\phantom{3}\\301\overline{)50148}\\\end{array}$$

Since 50 is less than 301, use the next digit 1 from dividend 50148 and add 0 to the quotient

$$\begin{array}{l}\phantom{301)}00\phantom{4}\\301\overline{)50148}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 50148

$$\begin{array}{l}\phantom{301)}00\phantom{5}\\301\overline{)50148}\\\end{array}$$

Find closest multiple of 301 to 501. We see that 1 \times 301 = 301 is the nearest. Now subtract 301 from 501 to get reminder 200. Add 1 to quotient.

$$\begin{array}{l}\phantom{301)}001\phantom{6}\\301\overline{)50148}\\\phantom{301)}\underline{\phantom{}301\phantom{99}}\\\phantom{301)}200\\\end{array}$$

Use the 4^{th} digit 4 from dividend 50148

$$\begin{array}{l}\phantom{301)}001\phantom{7}\\301\overline{)50148}\\\phantom{301)}\underline{\phantom{}301\phantom{99}}\\\phantom{301)}2004\\\end{array}$$

Find closest multiple of 301 to 2004. We see that 6 \times 301 = 1806 is the nearest. Now subtract 1806 from 2004 to get reminder 198. Add 6 to quotient.

$$\begin{array}{l}\phantom{301)}0016\phantom{8}\\301\overline{)50148}\\\phantom{301)}\underline{\phantom{}301\phantom{99}}\\\phantom{301)}2004\\\phantom{301)}\underline{\phantom{}1806\phantom{9}}\\\phantom{301)9}198\\\end{array}$$

Use the 5^{th} digit 8 from dividend 50148

$$\begin{array}{l}\phantom{301)}0016\phantom{9}\\301\overline{)50148}\\\phantom{301)}\underline{\phantom{}301\phantom{99}}\\\phantom{301)}2004\\\phantom{301)}\underline{\phantom{}1806\phantom{9}}\\\phantom{301)9}1988\\\end{array}$$

Find closest multiple of 301 to 1988. We see that 6 \times 301 = 1806 is the nearest. Now subtract 1806 from 1988 to get reminder 182. Add 6 to quotient.

$$\begin{array}{l}\phantom{301)}00166\phantom{10}\\301\overline{)50148}\\\phantom{301)}\underline{\phantom{}301\phantom{99}}\\\phantom{301)}2004\\\phantom{301)}\underline{\phantom{}1806\phantom{9}}\\\phantom{301)9}1988\\\phantom{301)}\underline{\phantom{9}1806\phantom{}}\\\phantom{301)99}182\\\end{array}$$

Since 182 is less than 301, stop the division. The reminder is 182. The topmost line 00166 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 166.

$$\text{Quotient: }166 \text{Reminder: }182$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 199}{43} = 166\frac{26}{43} = 166.6046511627907$$