Solve 4792div38

$$4792 \div 38$$

Evaluate

$$\frac{2396}{19}\approx 126.105263158$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4792

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)4792}\\\end{array}$$

Since 4 is less than 38, use the next digit 7 from dividend 4792 and add 0 to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)4792}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 4792

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)4792}\\\end{array}$$

Find closest multiple of 38 to 47. We see that 1 \times 38 = 38 is the nearest. Now subtract 38 from 47 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{38)}01\phantom{4}\\38\overline{)4792}\\\phantom{38)}\underline{\phantom{}38\phantom{99}}\\\phantom{38)9}9\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 4792

$$\begin{array}{l}\phantom{38)}01\phantom{5}\\38\overline{)4792}\\\phantom{38)}\underline{\phantom{}38\phantom{99}}\\\phantom{38)9}99\\\end{array}$$

Find closest multiple of 38 to 99. We see that 2 \times 38 = 76 is the nearest. Now subtract 76 from 99 to get reminder 23. Add 2 to quotient.

$$\begin{array}{l}\phantom{38)}012\phantom{6}\\38\overline{)4792}\\\phantom{38)}\underline{\phantom{}38\phantom{99}}\\\phantom{38)9}99\\\phantom{38)}\underline{\phantom{9}76\phantom{9}}\\\phantom{38)9}23\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4792

$$\begin{array}{l}\phantom{38)}012\phantom{7}\\38\overline{)4792}\\\phantom{38)}\underline{\phantom{}38\phantom{99}}\\\phantom{38)9}99\\\phantom{38)}\underline{\phantom{9}76\phantom{9}}\\\phantom{38)9}232\\\end{array}$$

Find closest multiple of 38 to 232. We see that 6 \times 38 = 228 is the nearest. Now subtract 228 from 232 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{38)}0126\phantom{8}\\38\overline{)4792}\\\phantom{38)}\underline{\phantom{}38\phantom{99}}\\\phantom{38)9}99\\\phantom{38)}\underline{\phantom{9}76\phantom{9}}\\\phantom{38)9}232\\\phantom{38)}\underline{\phantom{9}228\phantom{}}\\\phantom{38)999}4\\\end{array}$$

Since 4 is less than 38, stop the division. The reminder is 4. The topmost line 0126 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 126.

$$\text{Quotient: }126 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 599}{19} = 126\frac{2}{19} = 126.10526315789474$$