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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 163 · 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. 1.66411 ÷ 98 =
  2. 2.121845 ÷ 989 =
  3. 3.98856 ÷ 96 =
  4. 4.681851 ÷ 989 =
  5. 5.769571 ÷ 897 =
  6. 6.11832 ÷ 98 =
  7. 7.2509 ÷ 8 =
  8. 8.20447 ÷ 96 =
  9. 9.50122 ÷ 96 =
  10. 10.43007 ÷ 89 =
  11. 11.40876 ÷ 989 =
  12. 12.800842 ÷ 997 =
  13. 13.270569 ÷ 997 =
  14. 14.38310 ÷ 88 =
  15. 15.326969 ÷ 997 =
  16. 16.89785 ÷ 97 =
  17. 17.124734 ÷ 988 =
  18. 18.637362 ÷ 997 =
  19. 19.72485 ÷ 88 =
  20. 20.909180 ÷ 997 =
  21. 21.965698 ÷ 897 =
  22. 22.807805 ÷ 989 =
  23. 23.656748 ÷ 989 =
  24. 24.692153 ÷ 989 =
  25. 25.67782 ÷ 88 =
  26. 26.2207 ÷ 8 =
  27. 27.93545 ÷ 97 =
  28. 28.11643 ÷ 96 =
  29. 29.33427 ÷ 96 =
  30. 30.845884 ÷ 988 =
  31. 31.92972 ÷ 98 =
  32. 32.155364 ÷ 997 =
  33. 33.449694 ÷ 989 =
  34. 34.96462 ÷ 89 =
  35. 35.4733 ÷ 8 =
  36. 36.1377 ÷ 8 =
  37. 37.89277 ÷ 88 =
  38. 38.360390 ÷ 989 =
  39. 39.712936 ÷ 997 =
  40. 40.575356 ÷ 998 =

Answer key

  1. 677 rem 65
  2. 123 rem 198
  3. 1029 rem 72
  4. 689 rem 430
  5. 857 rem 842
  6. 120 rem 72
  7. 313 rem 5
  8. 212 rem 95
  9. 522 rem 10
  10. 483 rem 20
  11. 41 rem 327
  12. 803 rem 251
  13. 271 rem 382
  14. 435 rem 30
  15. 327 rem 950
  16. 925 rem 60
  17. 126 rem 246
  18. 639 rem 279
  19. 823 rem 61
  20. 911 rem 913
  21. 1076 rem 526
  22. 816 rem 781
  23. 664 rem 52
  24. 699 rem 842
  25. 770 rem 22
  26. 275 rem 7
  27. 964 rem 37
  28. 121 rem 27
  29. 348 rem 19
  30. 856 rem 156
  31. 948 rem 68
  32. 155 rem 829
  33. 454 rem 688
  34. 1083 rem 75
  35. 591 rem 5
  36. 172 rem 1
  37. 1014 rem 45
  38. 364 rem 394
  39. 715 rem 81
  40. 576 rem 508

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