Solve 5100div45

$$5100 \div 45$$

Evaluate

$$\frac{340}{3}\approx 113.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5100

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)5100}\\\end{array}$$

Since 5 is less than 45, use the next digit 1 from dividend 5100 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)5100}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 5100

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)5100}\\\end{array}$$

Find closest multiple of 45 to 51. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 51 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}01\phantom{4}\\45\overline{)5100}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)9}6\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5100

$$\begin{array}{l}\phantom{45)}01\phantom{5}\\45\overline{)5100}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)9}60\\\end{array}$$

Find closest multiple of 45 to 60. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 60 to get reminder 15. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}011\phantom{6}\\45\overline{)5100}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)9}60\\\phantom{45)}\underline{\phantom{9}45\phantom{9}}\\\phantom{45)9}15\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5100

$$\begin{array}{l}\phantom{45)}011\phantom{7}\\45\overline{)5100}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)9}60\\\phantom{45)}\underline{\phantom{9}45\phantom{9}}\\\phantom{45)9}150\\\end{array}$$

Find closest multiple of 45 to 150. We see that 3 \times 45 = 135 is the nearest. Now subtract 135 from 150 to get reminder 15. Add 3 to quotient.

$$\begin{array}{l}\phantom{45)}0113\phantom{8}\\45\overline{)5100}\\\phantom{45)}\underline{\phantom{}45\phantom{99}}\\\phantom{45)9}60\\\phantom{45)}\underline{\phantom{9}45\phantom{9}}\\\phantom{45)9}150\\\phantom{45)}\underline{\phantom{9}135\phantom{}}\\\phantom{45)99}15\\\end{array}$$

Since 15 is less than 45, stop the division. The reminder is 15. The topmost line 0113 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 113.

$$\text{Quotient: }113 \text{Reminder: }15$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 17}{3} = 113\frac{1}{3} = 113.33333333333333$$