Solve 9438div83

$$9438 \div 83$$

Evaluate

$$\frac{9438}{83}\approx 113.710843373$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9438

$$\begin{array}{l}\phantom{83)}\phantom{1}\\83\overline{)9438}\\\end{array}$$

Since 9 is less than 83, use the next digit 4 from dividend 9438 and add 0 to the quotient

$$\begin{array}{l}\phantom{83)}0\phantom{2}\\83\overline{)9438}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 9438

$$\begin{array}{l}\phantom{83)}0\phantom{3}\\83\overline{)9438}\\\end{array}$$

Find closest multiple of 83 to 94. We see that 1 \times 83 = 83 is the nearest. Now subtract 83 from 94 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{83)}01\phantom{4}\\83\overline{)9438}\\\phantom{83)}\underline{\phantom{}83\phantom{99}}\\\phantom{83)}11\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 9438

$$\begin{array}{l}\phantom{83)}01\phantom{5}\\83\overline{)9438}\\\phantom{83)}\underline{\phantom{}83\phantom{99}}\\\phantom{83)}113\\\end{array}$$

Find closest multiple of 83 to 113. We see that 1 \times 83 = 83 is the nearest. Now subtract 83 from 113 to get reminder 30. Add 1 to quotient.

$$\begin{array}{l}\phantom{83)}011\phantom{6}\\83\overline{)9438}\\\phantom{83)}\underline{\phantom{}83\phantom{99}}\\\phantom{83)}113\\\phantom{83)}\underline{\phantom{9}83\phantom{9}}\\\phantom{83)9}30\\\end{array}$$

Use the 4^{th} digit 8 from dividend 9438

$$\begin{array}{l}\phantom{83)}011\phantom{7}\\83\overline{)9438}\\\phantom{83)}\underline{\phantom{}83\phantom{99}}\\\phantom{83)}113\\\phantom{83)}\underline{\phantom{9}83\phantom{9}}\\\phantom{83)9}308\\\end{array}$$

Find closest multiple of 83 to 308. We see that 3 \times 83 = 249 is the nearest. Now subtract 249 from 308 to get reminder 59. Add 3 to quotient.

$$\begin{array}{l}\phantom{83)}0113\phantom{8}\\83\overline{)9438}\\\phantom{83)}\underline{\phantom{}83\phantom{99}}\\\phantom{83)}113\\\phantom{83)}\underline{\phantom{9}83\phantom{9}}\\\phantom{83)9}308\\\phantom{83)}\underline{\phantom{9}249\phantom{}}\\\phantom{83)99}59\\\end{array}$$

Since 59 is less than 83, stop the division. The reminder is 59. The topmost line 0113 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 113.

$$\text{Quotient: }113 \text{Reminder: }59$$

Factor

$$\frac{2 \cdot 3 \cdot 11 ^ {2} \cdot 13}{83} = 113\frac{59}{83} = 113.71084337349397$$