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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 737 · 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. 1.44813 ÷ 89 =
  2. 2.975451 ÷ 989 =
  3. 3.8817 ÷ 8 =
  4. 4.13618 ÷ 96 =
  5. 5.3017 ÷ 98 =
  6. 6.903240 ÷ 998 =
  7. 7.780098 ÷ 897 =
  8. 8.5434 ÷ 98 =
  9. 9.869093 ÷ 988 =
  10. 10.927476 ÷ 988 =
  11. 11.276526 ÷ 897 =
  12. 12.216842 ÷ 989 =
  13. 13.269191 ÷ 989 =
  14. 14.576121 ÷ 897 =
  15. 15.90394 ÷ 96 =
  16. 16.6182 ÷ 8 =
  17. 17.82959 ÷ 88 =
  18. 18.551631 ÷ 989 =
  19. 19.14872 ÷ 88 =
  20. 20.91326 ÷ 88 =
  21. 21.567923 ÷ 998 =
  22. 22.1827 ÷ 98 =
  23. 23.40689 ÷ 88 =
  24. 24.672467 ÷ 989 =
  25. 25.698986 ÷ 998 =
  26. 26.40115 ÷ 98 =
  27. 27.583228 ÷ 897 =
  28. 28.52996 ÷ 998 =
  29. 29.7008 ÷ 96 =
  30. 30.84216 ÷ 96 =
  31. 31.94450 ÷ 997 =
  32. 32.97370 ÷ 97 =
  33. 33.22678 ÷ 97 =
  34. 34.74956 ÷ 998 =
  35. 35.654399 ÷ 989 =
  36. 36.717734 ÷ 989 =
  37. 37.16599 ÷ 97 =
  38. 38.819035 ÷ 988 =
  39. 39.3593 ÷ 8 =
  40. 40.201748 ÷ 897 =

Answer key

  1. 503 rem 46
  2. 986 rem 297
  3. 1102 rem 1
  4. 141 rem 82
  5. 30 rem 77
  6. 905 rem 50
  7. 869 rem 605
  8. 55 rem 44
  9. 879 rem 641
  10. 938 rem 732
  11. 308 rem 250
  12. 219 rem 251
  13. 272 rem 183
  14. 642 rem 247
  15. 941 rem 58
  16. 772 rem 6
  17. 942 rem 63
  18. 557 rem 758
  19. 169 rem 0
  20. 1037 rem 70
  21. 569 rem 61
  22. 18 rem 63
  23. 462 rem 33
  24. 679 rem 936
  25. 700 rem 386
  26. 409 rem 33
  27. 650 rem 178
  28. 53 rem 102
  29. 73 rem 0
  30. 877 rem 24
  31. 94 rem 732
  32. 1003 rem 79
  33. 233 rem 77
  34. 75 rem 106
  35. 661 rem 670
  36. 725 rem 709
  37. 171 rem 12
  38. 828 rem 971
  39. 449 rem 1
  40. 224 rem 820

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