Solve 38982div73

$$38982 \div 73$$

Evaluate

$$534$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 38982

$$\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)38982}\\\end{array}$$

Since 3 is less than 73, use the next digit 8 from dividend 38982 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)38982}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 38982

$$\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)38982}\\\end{array}$$

Since 38 is less than 73, use the next digit 9 from dividend 38982 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}00\phantom{4}\\73\overline{)38982}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 38982

$$\begin{array}{l}\phantom{73)}00\phantom{5}\\73\overline{)38982}\\\end{array}$$

Find closest multiple of 73 to 389. We see that 5 \times 73 = 365 is the nearest. Now subtract 365 from 389 to get reminder 24. Add 5 to quotient.

$$\begin{array}{l}\phantom{73)}005\phantom{6}\\73\overline{)38982}\\\phantom{73)}\underline{\phantom{}365\phantom{99}}\\\phantom{73)9}24\\\end{array}$$

Use the 4^{th} digit 8 from dividend 38982

$$\begin{array}{l}\phantom{73)}005\phantom{7}\\73\overline{)38982}\\\phantom{73)}\underline{\phantom{}365\phantom{99}}\\\phantom{73)9}248\\\end{array}$$

Find closest multiple of 73 to 248. We see that 3 \times 73 = 219 is the nearest. Now subtract 219 from 248 to get reminder 29. Add 3 to quotient.

$$\begin{array}{l}\phantom{73)}0053\phantom{8}\\73\overline{)38982}\\\phantom{73)}\underline{\phantom{}365\phantom{99}}\\\phantom{73)9}248\\\phantom{73)}\underline{\phantom{9}219\phantom{9}}\\\phantom{73)99}29\\\end{array}$$

Use the 5^{th} digit 2 from dividend 38982

$$\begin{array}{l}\phantom{73)}0053\phantom{9}\\73\overline{)38982}\\\phantom{73)}\underline{\phantom{}365\phantom{99}}\\\phantom{73)9}248\\\phantom{73)}\underline{\phantom{9}219\phantom{9}}\\\phantom{73)99}292\\\end{array}$$

Find closest multiple of 73 to 292. We see that 4 \times 73 = 292 is the nearest. Now subtract 292 from 292 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{73)}00534\phantom{10}\\73\overline{)38982}\\\phantom{73)}\underline{\phantom{}365\phantom{99}}\\\phantom{73)9}248\\\phantom{73)}\underline{\phantom{9}219\phantom{9}}\\\phantom{73)99}292\\\phantom{73)}\underline{\phantom{99}292\phantom{}}\\\phantom{73)99999}0\\\end{array}$$

Since 0 is less than 73, stop the division. The reminder is 0. The topmost line 00534 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 534.

$$\text{Quotient: }534 \text{Reminder: }0$$

Factor

$$2\times 3\times 89$$