Solve 2984div79

$$2984 \div 79$$

Evaluate

$$\frac{2984}{79}\approx 37.772151899$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2984

$$\begin{array}{l}\phantom{79)}\phantom{1}\\79\overline{)2984}\\\end{array}$$

Since 2 is less than 79, use the next digit 9 from dividend 2984 and add 0 to the quotient

$$\begin{array}{l}\phantom{79)}0\phantom{2}\\79\overline{)2984}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2984

$$\begin{array}{l}\phantom{79)}0\phantom{3}\\79\overline{)2984}\\\end{array}$$

Since 29 is less than 79, use the next digit 8 from dividend 2984 and add 0 to the quotient

$$\begin{array}{l}\phantom{79)}00\phantom{4}\\79\overline{)2984}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2984

$$\begin{array}{l}\phantom{79)}00\phantom{5}\\79\overline{)2984}\\\end{array}$$

Find closest multiple of 79 to 298. We see that 3 \times 79 = 237 is the nearest. Now subtract 237 from 298 to get reminder 61. Add 3 to quotient.

$$\begin{array}{l}\phantom{79)}003\phantom{6}\\79\overline{)2984}\\\phantom{79)}\underline{\phantom{}237\phantom{9}}\\\phantom{79)9}61\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2984

$$\begin{array}{l}\phantom{79)}003\phantom{7}\\79\overline{)2984}\\\phantom{79)}\underline{\phantom{}237\phantom{9}}\\\phantom{79)9}614\\\end{array}$$

Find closest multiple of 79 to 614. We see that 7 \times 79 = 553 is the nearest. Now subtract 553 from 614 to get reminder 61. Add 7 to quotient.

$$\begin{array}{l}\phantom{79)}0037\phantom{8}\\79\overline{)2984}\\\phantom{79)}\underline{\phantom{}237\phantom{9}}\\\phantom{79)9}614\\\phantom{79)}\underline{\phantom{9}553\phantom{}}\\\phantom{79)99}61\\\end{array}$$

Since 61 is less than 79, stop the division. The reminder is 61. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }61$$

Factor

$$\frac{2 ^ {3} \cdot 373}{79} = 37\frac{61}{79} = 37.77215189873418$$