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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 917 · 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. 1.42876 ÷ 96 =
  2. 2.27121 ÷ 97 =
  3. 3.74959 ÷ 98 =
  4. 4.45575 ÷ 997 =
  5. 5.38753 ÷ 98 =
  6. 6.7862 ÷ 96 =
  7. 7.38313 ÷ 88 =
  8. 8.5617 ÷ 98 =
  9. 9.70822 ÷ 997 =
  10. 10.26454 ÷ 98 =
  11. 11.97783 ÷ 88 =
  12. 12.704082 ÷ 988 =
  13. 13.200189 ÷ 998 =
  14. 14.332934 ÷ 897 =
  15. 15.28896 ÷ 97 =
  16. 16.638050 ÷ 997 =
  17. 17.120733 ÷ 997 =
  18. 18.207480 ÷ 988 =
  19. 19.23184 ÷ 998 =
  20. 20.11196 ÷ 97 =
  21. 21.417002 ÷ 988 =
  22. 22.700596 ÷ 998 =
  23. 23.832375 ÷ 988 =
  24. 24.799292 ÷ 897 =
  25. 25.73843 ÷ 98 =
  26. 26.6886 ÷ 89 =
  27. 27.33618 ÷ 97 =
  28. 28.5874 ÷ 8 =
  29. 29.324710 ÷ 989 =
  30. 30.2268 ÷ 8 =
  31. 31.6382 ÷ 88 =
  32. 32.73964 ÷ 88 =
  33. 33.465786 ÷ 988 =
  34. 34.47245 ÷ 98 =
  35. 35.65417 ÷ 89 =
  36. 36.338858 ÷ 998 =
  37. 37.73823 ÷ 96 =
  38. 38.398371 ÷ 997 =
  39. 39.615105 ÷ 989 =
  40. 40.4071 ÷ 8 =

Answer key

  1. 446 rem 60
  2. 279 rem 58
  3. 764 rem 87
  4. 45 rem 710
  5. 395 rem 43
  6. 81 rem 86
  7. 435 rem 33
  8. 57 rem 31
  9. 71 rem 35
  10. 269 rem 92
  11. 1111 rem 15
  12. 712 rem 626
  13. 200 rem 589
  14. 371 rem 147
  15. 297 rem 87
  16. 639 rem 967
  17. 121 rem 96
  18. 210 rem 0
  19. 23 rem 230
  20. 115 rem 41
  21. 422 rem 66
  22. 702 rem 0
  23. 842 rem 479
  24. 891 rem 65
  25. 753 rem 49
  26. 77 rem 33
  27. 346 rem 56
  28. 734 rem 2
  29. 328 rem 318
  30. 283 rem 4
  31. 72 rem 46
  32. 840 rem 44
  33. 471 rem 438
  34. 482 rem 9
  35. 735 rem 2
  36. 339 rem 536
  37. 768 rem 95
  38. 399 rem 568
  39. 621 rem 936
  40. 508 rem 7

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