Solve 4,133/94

$$\frac { 4,133 } { 94 }$$

Evaluate

$$\frac{4133}{94}\approx 43.968085106$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4133

$$\begin{array}{l}\phantom{94)}\phantom{1}\\94\overline{)4133}\\\end{array}$$

Since 4 is less than 94, use the next digit 1 from dividend 4133 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}0\phantom{2}\\94\overline{)4133}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4133

$$\begin{array}{l}\phantom{94)}0\phantom{3}\\94\overline{)4133}\\\end{array}$$

Since 41 is less than 94, use the next digit 3 from dividend 4133 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}00\phantom{4}\\94\overline{)4133}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 4133

$$\begin{array}{l}\phantom{94)}00\phantom{5}\\94\overline{)4133}\\\end{array}$$

Find closest multiple of 94 to 413. We see that 4 \times 94 = 376 is the nearest. Now subtract 376 from 413 to get reminder 37. Add 4 to quotient.

$$\begin{array}{l}\phantom{94)}004\phantom{6}\\94\overline{)4133}\\\phantom{94)}\underline{\phantom{}376\phantom{9}}\\\phantom{94)9}37\\\end{array}$$

Use the 4^{th} digit 3 from dividend 4133

$$\begin{array}{l}\phantom{94)}004\phantom{7}\\94\overline{)4133}\\\phantom{94)}\underline{\phantom{}376\phantom{9}}\\\phantom{94)9}373\\\end{array}$$

Find closest multiple of 94 to 373. We see that 3 \times 94 = 282 is the nearest. Now subtract 282 from 373 to get reminder 91. Add 3 to quotient.

$$\begin{array}{l}\phantom{94)}0043\phantom{8}\\94\overline{)4133}\\\phantom{94)}\underline{\phantom{}376\phantom{9}}\\\phantom{94)9}373\\\phantom{94)}\underline{\phantom{9}282\phantom{}}\\\phantom{94)99}91\\\end{array}$$

Since 91 is less than 94, stop the division. The reminder is 91. The topmost line 0043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.

$$\text{Quotient: }43 \text{Reminder: }91$$

Factor

$$\frac{4133}{2 \cdot 47} = 43\frac{91}{94} = 43.96808510638298$$