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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 650 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.1492 ÷ 8 =
  2. 2.7288 ÷ 89 =
  3. 3.537268 ÷ 997 =
  4. 4.8491 ÷ 96 =
  5. 5.883177 ÷ 988 =
  6. 6.1999 ÷ 8 =
  7. 7.61703 ÷ 98 =
  8. 8.204562 ÷ 998 =
  9. 9.1500 ÷ 8 =
  10. 10.868344 ÷ 897 =
  11. 11.526780 ÷ 997 =
  12. 12.8334 ÷ 8 =
  13. 13.736893 ÷ 997 =
  14. 14.66056 ÷ 89 =
  15. 15.26882 ÷ 98 =
  16. 16.76000 ÷ 997 =
  17. 17.662967 ÷ 997 =
  18. 18.2688 ÷ 96 =
  19. 19.49141 ÷ 96 =
  20. 20.14214 ÷ 89 =
  21. 21.982987 ÷ 997 =
  22. 22.88009 ÷ 96 =
  23. 23.3217 ÷ 97 =
  24. 24.99176 ÷ 96 =
  25. 25.612653 ÷ 897 =
  26. 26.40748 ÷ 89 =
  27. 27.192968 ÷ 997 =
  28. 28.326309 ÷ 998 =
  29. 29.258097 ÷ 897 =
  30. 30.8457 ÷ 8 =
  31. 31.886310 ÷ 989 =
  32. 32.19705 ÷ 88 =
  33. 33.87618 ÷ 89 =
  34. 34.8006 ÷ 8 =
  35. 35.346848 ÷ 897 =
  36. 36.584460 ÷ 989 =
  37. 37.32282 ÷ 88 =
  38. 38.99671 ÷ 989 =
  39. 39.348036 ÷ 989 =
  40. 40.59903 ÷ 96 =

Answer key

  1. 186 rem 4
  2. 81 rem 79
  3. 538 rem 882
  4. 88 rem 43
  5. 893 rem 893
  6. 249 rem 7
  7. 629 rem 61
  8. 204 rem 970
  9. 187 rem 4
  10. 968 rem 48
  11. 528 rem 364
  12. 1041 rem 6
  13. 739 rem 110
  14. 742 rem 18
  15. 274 rem 30
  16. 76 rem 228
  17. 664 rem 959
  18. 28 rem 0
  19. 511 rem 85
  20. 159 rem 63
  21. 985 rem 942
  22. 916 rem 73
  23. 33 rem 16
  24. 1033 rem 8
  25. 683 rem 2
  26. 457 rem 75
  27. 193 rem 547
  28. 326 rem 961
  29. 287 rem 658
  30. 1057 rem 1
  31. 896 rem 166
  32. 223 rem 81
  33. 984 rem 42
  34. 1000 rem 6
  35. 386 rem 606
  36. 590 rem 950
  37. 366 rem 74
  38. 100 rem 771
  39. 351 rem 897
  40. 623 rem 95

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