Solve 10304div38

$$10304 \div 38$$

Evaluate

$$\frac{5152}{19}\approx 271.157894737$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10304

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)10304}\\\end{array}$$

Since 1 is less than 38, use the next digit 0 from dividend 10304 and add 0 to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)10304}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10304

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)10304}\\\end{array}$$

Since 10 is less than 38, use the next digit 3 from dividend 10304 and add 0 to the quotient

$$\begin{array}{l}\phantom{38)}00\phantom{4}\\38\overline{)10304}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 10304

$$\begin{array}{l}\phantom{38)}00\phantom{5}\\38\overline{)10304}\\\end{array}$$

Find closest multiple of 38 to 103. We see that 2 \times 38 = 76 is the nearest. Now subtract 76 from 103 to get reminder 27. Add 2 to quotient.

$$\begin{array}{l}\phantom{38)}002\phantom{6}\\38\overline{)10304}\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)9}27\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10304

$$\begin{array}{l}\phantom{38)}002\phantom{7}\\38\overline{)10304}\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)9}270\\\end{array}$$

Find closest multiple of 38 to 270. We see that 7 \times 38 = 266 is the nearest. Now subtract 266 from 270 to get reminder 4. Add 7 to quotient.

$$\begin{array}{l}\phantom{38)}0027\phantom{8}\\38\overline{)10304}\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)9}270\\\phantom{38)}\underline{\phantom{9}266\phantom{9}}\\\phantom{38)999}4\\\end{array}$$

Use the 5^{th} digit 4 from dividend 10304

$$\begin{array}{l}\phantom{38)}0027\phantom{9}\\38\overline{)10304}\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)9}270\\\phantom{38)}\underline{\phantom{9}266\phantom{9}}\\\phantom{38)999}44\\\end{array}$$

Find closest multiple of 38 to 44. We see that 1 \times 38 = 38 is the nearest. Now subtract 38 from 44 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{38)}00271\phantom{10}\\38\overline{)10304}\\\phantom{38)}\underline{\phantom{9}76\phantom{99}}\\\phantom{38)9}270\\\phantom{38)}\underline{\phantom{9}266\phantom{9}}\\\phantom{38)999}44\\\phantom{38)}\underline{\phantom{999}38\phantom{}}\\\phantom{38)9999}6\\\end{array}$$

Since 6 is less than 38, stop the division. The reminder is 6. The topmost line 00271 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 271.

$$\text{Quotient: }271 \text{Reminder: }6$$

Factor

$$\frac{2 ^ {5} \cdot 7 \cdot 23}{19} = 271\frac{3}{19} = 271.1578947368421$$