Solve 1872/76

$$\frac { 1872 } { 76 }$$

Evaluate

$$\frac{468}{19}\approx 24.631578947$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1872

$$\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)1872}\\\end{array}$$

Since 1 is less than 76, use the next digit 8 from dividend 1872 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)1872}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1872

$$\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)1872}\\\end{array}$$

Since 18 is less than 76, use the next digit 7 from dividend 1872 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}00\phantom{4}\\76\overline{)1872}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1872

$$\begin{array}{l}\phantom{76)}00\phantom{5}\\76\overline{)1872}\\\end{array}$$

Find closest multiple of 76 to 187. We see that 2 \times 76 = 152 is the nearest. Now subtract 152 from 187 to get reminder 35. Add 2 to quotient.

$$\begin{array}{l}\phantom{76)}002\phantom{6}\\76\overline{)1872}\\\phantom{76)}\underline{\phantom{}152\phantom{9}}\\\phantom{76)9}35\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1872

$$\begin{array}{l}\phantom{76)}002\phantom{7}\\76\overline{)1872}\\\phantom{76)}\underline{\phantom{}152\phantom{9}}\\\phantom{76)9}352\\\end{array}$$

Find closest multiple of 76 to 352. We see that 4 \times 76 = 304 is the nearest. Now subtract 304 from 352 to get reminder 48. Add 4 to quotient.

$$\begin{array}{l}\phantom{76)}0024\phantom{8}\\76\overline{)1872}\\\phantom{76)}\underline{\phantom{}152\phantom{9}}\\\phantom{76)9}352\\\phantom{76)}\underline{\phantom{9}304\phantom{}}\\\phantom{76)99}48\\\end{array}$$

Since 48 is less than 76, stop the division. The reminder is 48. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }48$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 13}{19} = 24\frac{12}{19} = 24.63157894736842$$