Solve 38150:75

$$38150 : 75$$

Evaluate

$$\frac{1526}{3}\approx 508.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 38150

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)38150}\\\end{array}$$

Since 3 is less than 75, use the next digit 8 from dividend 38150 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)38150}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 38150

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)38150}\\\end{array}$$

Since 38 is less than 75, use the next digit 1 from dividend 38150 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)38150}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 38150

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)38150}\\\end{array}$$

Find closest multiple of 75 to 381. We see that 5 \times 75 = 375 is the nearest. Now subtract 375 from 381 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{75)}005\phantom{6}\\75\overline{)38150}\\\phantom{75)}\underline{\phantom{}375\phantom{99}}\\\phantom{75)99}6\\\end{array}$$

Use the 4^{th} digit 5 from dividend 38150

$$\begin{array}{l}\phantom{75)}005\phantom{7}\\75\overline{)38150}\\\phantom{75)}\underline{\phantom{}375\phantom{99}}\\\phantom{75)99}65\\\end{array}$$

Since 65 is less than 75, use the next digit 0 from dividend 38150 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0050\phantom{8}\\75\overline{)38150}\\\phantom{75)}\underline{\phantom{}375\phantom{99}}\\\phantom{75)99}65\\\end{array}$$

Use the 5^{th} digit 0 from dividend 38150

$$\begin{array}{l}\phantom{75)}0050\phantom{9}\\75\overline{)38150}\\\phantom{75)}\underline{\phantom{}375\phantom{99}}\\\phantom{75)99}650\\\end{array}$$

Find closest multiple of 75 to 650. We see that 8 \times 75 = 600 is the nearest. Now subtract 600 from 650 to get reminder 50. Add 8 to quotient.

$$\begin{array}{l}\phantom{75)}00508\phantom{10}\\75\overline{)38150}\\\phantom{75)}\underline{\phantom{}375\phantom{99}}\\\phantom{75)99}650\\\phantom{75)}\underline{\phantom{99}600\phantom{}}\\\phantom{75)999}50\\\end{array}$$

Since 50 is less than 75, stop the division. The reminder is 50. The topmost line 00508 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 508.

$$\text{Quotient: }508 \text{Reminder: }50$$

Factor

$$\frac{2 \cdot 7 \cdot 109}{3} = 508\frac{2}{3} = 508.6666666666667$$