Solve 5000div133

$$5000 \div 133$$

Evaluate

$$\frac{5000}{133}\approx 37.593984962$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5000

$$\begin{array}{l}\phantom{133)}\phantom{1}\\133\overline{)5000}\\\end{array}$$

Since 5 is less than 133, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{133)}0\phantom{2}\\133\overline{)5000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{133)}0\phantom{3}\\133\overline{)5000}\\\end{array}$$

Since 50 is less than 133, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{133)}00\phantom{4}\\133\overline{)5000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{133)}00\phantom{5}\\133\overline{)5000}\\\end{array}$$

Find closest multiple of 133 to 500. We see that 3 \times 133 = 399 is the nearest. Now subtract 399 from 500 to get reminder 101. Add 3 to quotient.

$$\begin{array}{l}\phantom{133)}003\phantom{6}\\133\overline{)5000}\\\phantom{133)}\underline{\phantom{}399\phantom{9}}\\\phantom{133)}101\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{133)}003\phantom{7}\\133\overline{)5000}\\\phantom{133)}\underline{\phantom{}399\phantom{9}}\\\phantom{133)}1010\\\end{array}$$

Find closest multiple of 133 to 1010. We see that 7 \times 133 = 931 is the nearest. Now subtract 931 from 1010 to get reminder 79. Add 7 to quotient.

$$\begin{array}{l}\phantom{133)}0037\phantom{8}\\133\overline{)5000}\\\phantom{133)}\underline{\phantom{}399\phantom{9}}\\\phantom{133)}1010\\\phantom{133)}\underline{\phantom{9}931\phantom{}}\\\phantom{133)99}79\\\end{array}$$

Since 79 is less than 133, stop the division. The reminder is 79. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }79$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{7 \cdot 19} = 37\frac{79}{133} = 37.59398496240601$$