Solve 3987/73

$$\frac { 3987 } { 73 }$$

Evaluate

$$\frac{3987}{73}\approx 54.616438356$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3987

$$\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)3987}\\\end{array}$$

Since 3 is less than 73, use the next digit 9 from dividend 3987 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)3987}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3987

$$\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)3987}\\\end{array}$$

Since 39 is less than 73, use the next digit 8 from dividend 3987 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}00\phantom{4}\\73\overline{)3987}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 3987

$$\begin{array}{l}\phantom{73)}00\phantom{5}\\73\overline{)3987}\\\end{array}$$

Find closest multiple of 73 to 398. We see that 5 \times 73 = 365 is the nearest. Now subtract 365 from 398 to get reminder 33. Add 5 to quotient.

$$\begin{array}{l}\phantom{73)}005\phantom{6}\\73\overline{)3987}\\\phantom{73)}\underline{\phantom{}365\phantom{9}}\\\phantom{73)9}33\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3987

$$\begin{array}{l}\phantom{73)}005\phantom{7}\\73\overline{)3987}\\\phantom{73)}\underline{\phantom{}365\phantom{9}}\\\phantom{73)9}337\\\end{array}$$

Find closest multiple of 73 to 337. We see that 4 \times 73 = 292 is the nearest. Now subtract 292 from 337 to get reminder 45. Add 4 to quotient.

$$\begin{array}{l}\phantom{73)}0054\phantom{8}\\73\overline{)3987}\\\phantom{73)}\underline{\phantom{}365\phantom{9}}\\\phantom{73)9}337\\\phantom{73)}\underline{\phantom{9}292\phantom{}}\\\phantom{73)99}45\\\end{array}$$

Since 45 is less than 73, stop the division. The reminder is 45. The topmost line 0054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.

$$\text{Quotient: }54 \text{Reminder: }45$$

Factor

$$\frac{3 ^ {2} \cdot 443}{73} = 54\frac{45}{73} = 54.61643835616438$$