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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 556 · 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. 1.34552 ÷ 89 =
  2. 2.880651 ÷ 988 =
  3. 3.884867 ÷ 897 =
  4. 4.740418 ÷ 998 =
  5. 5.3740 ÷ 8 =
  6. 6.6354 ÷ 8 =
  7. 7.401147 ÷ 998 =
  8. 8.993838 ÷ 897 =
  9. 9.74823 ÷ 89 =
  10. 10.121536 ÷ 998 =
  11. 11.80427 ÷ 88 =
  12. 12.416765 ÷ 988 =
  13. 13.3607 ÷ 8 =
  14. 14.67976 ÷ 89 =
  15. 15.850016 ÷ 997 =
  16. 16.208565 ÷ 988 =
  17. 17.63954 ÷ 998 =
  18. 18.6479 ÷ 89 =
  19. 19.18340 ÷ 88 =
  20. 20.21566 ÷ 89 =
  21. 21.175526 ÷ 897 =
  22. 22.33345 ÷ 88 =
  23. 23.19595 ÷ 89 =
  24. 24.29342 ÷ 96 =
  25. 25.5476 ÷ 8 =
  26. 26.779022 ÷ 988 =
  27. 27.53400 ÷ 96 =
  28. 28.96649 ÷ 96 =
  29. 29.1914 ÷ 8 =
  30. 30.73095 ÷ 88 =
  31. 31.15520 ÷ 88 =
  32. 32.423201 ÷ 997 =
  33. 33.43506 ÷ 998 =
  34. 34.77092 ÷ 89 =
  35. 35.57298 ÷ 98 =
  36. 36.343706 ÷ 997 =
  37. 37.814757 ÷ 988 =
  38. 38.598725 ÷ 989 =
  39. 39.740414 ÷ 998 =
  40. 40.681682 ÷ 998 =

Answer key

  1. 388 rem 20
  2. 891 rem 343
  3. 986 rem 425
  4. 741 rem 900
  5. 467 rem 4
  6. 794 rem 2
  7. 401 rem 949
  8. 1107 rem 859
  9. 840 rem 63
  10. 121 rem 778
  11. 913 rem 83
  12. 421 rem 817
  13. 450 rem 7
  14. 763 rem 69
  15. 852 rem 572
  16. 211 rem 97
  17. 64 rem 82
  18. 72 rem 71
  19. 208 rem 36
  20. 242 rem 28
  21. 195 rem 611
  22. 378 rem 81
  23. 220 rem 15
  24. 305 rem 62
  25. 684 rem 4
  26. 788 rem 478
  27. 556 rem 24
  28. 1006 rem 73
  29. 239 rem 2
  30. 830 rem 55
  31. 176 rem 32
  32. 424 rem 473
  33. 43 rem 592
  34. 866 rem 18
  35. 584 rem 66
  36. 344 rem 738
  37. 824 rem 645
  38. 605 rem 380
  39. 741 rem 896
  40. 683 rem 48

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