Solve 6000div121

$$6000 \div 121$$

Evaluate

$$\frac{6000}{121}\approx 49.58677686$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6000

$$\begin{array}{l}\phantom{121)}\phantom{1}\\121\overline{)6000}\\\end{array}$$

Since 6 is less than 121, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{121)}0\phantom{2}\\121\overline{)6000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{121)}0\phantom{3}\\121\overline{)6000}\\\end{array}$$

Since 60 is less than 121, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{121)}00\phantom{4}\\121\overline{)6000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{121)}00\phantom{5}\\121\overline{)6000}\\\end{array}$$

Find closest multiple of 121 to 600. We see that 4 \times 121 = 484 is the nearest. Now subtract 484 from 600 to get reminder 116. Add 4 to quotient.

$$\begin{array}{l}\phantom{121)}004\phantom{6}\\121\overline{)6000}\\\phantom{121)}\underline{\phantom{}484\phantom{9}}\\\phantom{121)}116\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{121)}004\phantom{7}\\121\overline{)6000}\\\phantom{121)}\underline{\phantom{}484\phantom{9}}\\\phantom{121)}1160\\\end{array}$$

Find closest multiple of 121 to 1160. We see that 9 \times 121 = 1089 is the nearest. Now subtract 1089 from 1160 to get reminder 71. Add 9 to quotient.

$$\begin{array}{l}\phantom{121)}0049\phantom{8}\\121\overline{)6000}\\\phantom{121)}\underline{\phantom{}484\phantom{9}}\\\phantom{121)}1160\\\phantom{121)}\underline{\phantom{}1089\phantom{}}\\\phantom{121)99}71\\\end{array}$$

Since 71 is less than 121, stop the division. The reminder is 71. The topmost line 0049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.

$$\text{Quotient: }49 \text{Reminder: }71$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {3}}{11 ^ {2}} = 49\frac{71}{121} = 49.586776859504134$$