Solve 319935div45

$$319935 \div 45$$

Evaluate

$$\frac{21329}{3}\approx 7109.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 319935

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)319935}\\\end{array}$$

Since 3 is less than 45, use the next digit 1 from dividend 319935 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)319935}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 319935

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)319935}\\\end{array}$$

Since 31 is less than 45, use the next digit 9 from dividend 319935 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)319935}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 319935

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)319935}\\\end{array}$$

Find closest multiple of 45 to 319. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 319 to get reminder 4. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}007\phantom{6}\\45\overline{)319935}\\\phantom{45)}\underline{\phantom{}315\phantom{999}}\\\phantom{45)99}4\\\end{array}$$

Use the 4^{th} digit 9 from dividend 319935

$$\begin{array}{l}\phantom{45)}007\phantom{7}\\45\overline{)319935}\\\phantom{45)}\underline{\phantom{}315\phantom{999}}\\\phantom{45)99}49\\\end{array}$$

Find closest multiple of 45 to 49. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 49 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}0071\phantom{8}\\45\overline{)319935}\\\phantom{45)}\underline{\phantom{}315\phantom{999}}\\\phantom{45)99}49\\\phantom{45)}\underline{\phantom{99}45\phantom{99}}\\\phantom{45)999}4\\\end{array}$$

Use the 5^{th} digit 3 from dividend 319935

$$\begin{array}{l}\phantom{45)}0071\phantom{9}\\45\overline{)319935}\\\phantom{45)}\underline{\phantom{}315\phantom{999}}\\\phantom{45)99}49\\\phantom{45)}\underline{\phantom{99}45\phantom{99}}\\\phantom{45)999}43\\\end{array}$$

Since 43 is less than 45, use the next digit 5 from dividend 319935 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00710\phantom{10}\\45\overline{)319935}\\\phantom{45)}\underline{\phantom{}315\phantom{999}}\\\phantom{45)99}49\\\phantom{45)}\underline{\phantom{99}45\phantom{99}}\\\phantom{45)999}43\\\end{array}$$

Use the 6^{th} digit 5 from dividend 319935

$$\begin{array}{l}\phantom{45)}00710\phantom{11}\\45\overline{)319935}\\\phantom{45)}\underline{\phantom{}315\phantom{999}}\\\phantom{45)99}49\\\phantom{45)}\underline{\phantom{99}45\phantom{99}}\\\phantom{45)999}435\\\end{array}$$

Find closest multiple of 45 to 435. We see that 9 \times 45 = 405 is the nearest. Now subtract 405 from 435 to get reminder 30. Add 9 to quotient.

$$\begin{array}{l}\phantom{45)}007109\phantom{12}\\45\overline{)319935}\\\phantom{45)}\underline{\phantom{}315\phantom{999}}\\\phantom{45)99}49\\\phantom{45)}\underline{\phantom{99}45\phantom{99}}\\\phantom{45)999}435\\\phantom{45)}\underline{\phantom{999}405\phantom{}}\\\phantom{45)9999}30\\\end{array}$$

Since 30 is less than 45, stop the division. The reminder is 30. The topmost line 007109 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7109.

$$\text{Quotient: }7109 \text{Reminder: }30$$

Factor

$$\frac{7 \cdot 11 \cdot 277}{3} = 7109\frac{2}{3} = 7109.666666666667$$