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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 4 · 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. 1.8893 ÷ 8 =
  2. 2.38513 ÷ 96 =
  3. 3.965604 ÷ 989 =
  4. 4.27988 ÷ 89 =
  5. 5.14275 ÷ 97 =
  6. 6.289903 ÷ 897 =
  7. 7.79809 ÷ 97 =
  8. 8.632518 ÷ 988 =
  9. 9.325659 ÷ 897 =
  10. 10.50563 ÷ 98 =
  11. 11.743834 ÷ 897 =
  12. 12.54709 ÷ 998 =
  13. 13.16695 ÷ 98 =
  14. 14.4856 ÷ 8 =
  15. 15.970184 ÷ 997 =
  16. 16.5041 ÷ 97 =
  17. 17.43776 ÷ 97 =
  18. 18.419300 ÷ 998 =
  19. 19.3998 ÷ 8 =
  20. 20.6539 ÷ 96 =
  21. 21.29384 ÷ 98 =
  22. 22.558545 ÷ 989 =
  23. 23.8325 ÷ 8 =
  24. 24.333871 ÷ 897 =
  25. 25.68941 ÷ 97 =
  26. 26.389846 ÷ 997 =
  27. 27.929348 ÷ 998 =
  28. 28.71524 ÷ 98 =
  29. 29.6885 ÷ 8 =
  30. 30.56012 ÷ 89 =
  31. 31.14737 ÷ 96 =
  32. 32.844460 ÷ 988 =
  33. 33.1362 ÷ 8 =
  34. 34.81103 ÷ 97 =
  35. 35.207587 ÷ 989 =
  36. 36.608272 ÷ 989 =
  37. 37.883405 ÷ 997 =
  38. 38.50023 ÷ 98 =
  39. 39.249862 ÷ 997 =
  40. 40.704861 ÷ 998 =

Answer key

  1. 1111 rem 5
  2. 401 rem 17
  3. 976 rem 340
  4. 314 rem 42
  5. 147 rem 16
  6. 323 rem 172
  7. 822 rem 75
  8. 640 rem 198
  9. 363 rem 48
  10. 515 rem 93
  11. 829 rem 221
  12. 54 rem 817
  13. 170 rem 35
  14. 607 rem 0
  15. 973 rem 103
  16. 51 rem 94
  17. 451 rem 29
  18. 420 rem 140
  19. 499 rem 6
  20. 68 rem 11
  21. 299 rem 82
  22. 564 rem 749
  23. 1040 rem 5
  24. 372 rem 187
  25. 710 rem 71
  26. 391 rem 19
  27. 931 rem 210
  28. 729 rem 82
  29. 860 rem 5
  30. 629 rem 31
  31. 153 rem 49
  32. 854 rem 708
  33. 170 rem 2
  34. 836 rem 11
  35. 209 rem 886
  36. 615 rem 37
  37. 886 rem 63
  38. 510 rem 43
  39. 250 rem 612
  40. 706 rem 273

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