Solve 60000div1089

$$60000 \div 1089$$

Evaluate

$$\frac{20000}{363}\approx 55.096418733$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 60000

$$\begin{array}{l}\phantom{1089)}\phantom{1}\\1089\overline{)60000}\\\end{array}$$

Since 6 is less than 1089, use the next digit 0 from dividend 60000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1089)}0\phantom{2}\\1089\overline{)60000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 60000

$$\begin{array}{l}\phantom{1089)}0\phantom{3}\\1089\overline{)60000}\\\end{array}$$

Since 60 is less than 1089, use the next digit 0 from dividend 60000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1089)}00\phantom{4}\\1089\overline{)60000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 60000

$$\begin{array}{l}\phantom{1089)}00\phantom{5}\\1089\overline{)60000}\\\end{array}$$

Since 600 is less than 1089, use the next digit 0 from dividend 60000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1089)}000\phantom{6}\\1089\overline{)60000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 60000

$$\begin{array}{l}\phantom{1089)}000\phantom{7}\\1089\overline{)60000}\\\end{array}$$

Find closest multiple of 1089 to 6000. We see that 5 \times 1089 = 5445 is the nearest. Now subtract 5445 from 6000 to get reminder 555. Add 5 to quotient.

$$\begin{array}{l}\phantom{1089)}0005\phantom{8}\\1089\overline{)60000}\\\phantom{1089)}\underline{\phantom{}5445\phantom{9}}\\\phantom{1089)9}555\\\end{array}$$

Use the 5^{th} digit 0 from dividend 60000

$$\begin{array}{l}\phantom{1089)}0005\phantom{9}\\1089\overline{)60000}\\\phantom{1089)}\underline{\phantom{}5445\phantom{9}}\\\phantom{1089)9}5550\\\end{array}$$

Find closest multiple of 1089 to 5550. We see that 5 \times 1089 = 5445 is the nearest. Now subtract 5445 from 5550 to get reminder 105. Add 5 to quotient.

$$\begin{array}{l}\phantom{1089)}00055\phantom{10}\\1089\overline{)60000}\\\phantom{1089)}\underline{\phantom{}5445\phantom{9}}\\\phantom{1089)9}5550\\\phantom{1089)}\underline{\phantom{9}5445\phantom{}}\\\phantom{1089)99}105\\\end{array}$$

Since 105 is less than 1089, stop the division. The reminder is 105. The topmost line 00055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.

$$\text{Quotient: }55 \text{Reminder: }105$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {4}}{3 \cdot 11 ^ {2}} = 55\frac{35}{363} = 55.09641873278237$$