Solve 894div76

$$894 \div 76$$

Evaluate

$$\frac{447}{38}\approx 11.763157895$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 894

$$\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)894}\\\end{array}$$

Since 8 is less than 76, use the next digit 9 from dividend 894 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)894}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 894

$$\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)894}\\\end{array}$$

Find closest multiple of 76 to 89. We see that 1 \times 76 = 76 is the nearest. Now subtract 76 from 89 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{76)}01\phantom{4}\\76\overline{)894}\\\phantom{76)}\underline{\phantom{}76\phantom{9}}\\\phantom{76)}13\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 894

$$\begin{array}{l}\phantom{76)}01\phantom{5}\\76\overline{)894}\\\phantom{76)}\underline{\phantom{}76\phantom{9}}\\\phantom{76)}134\\\end{array}$$

Find closest multiple of 76 to 134. We see that 1 \times 76 = 76 is the nearest. Now subtract 76 from 134 to get reminder 58. Add 1 to quotient.

$$\begin{array}{l}\phantom{76)}011\phantom{6}\\76\overline{)894}\\\phantom{76)}\underline{\phantom{}76\phantom{9}}\\\phantom{76)}134\\\phantom{76)}\underline{\phantom{9}76\phantom{}}\\\phantom{76)9}58\\\end{array}$$

Since 58 is less than 76, stop the division. The reminder is 58. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }58$$

Factor

$$\frac{3 \cdot 149}{2 \cdot 19} = 11\frac{29}{38} = 11.763157894736842$$