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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 65 · 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. 1.62925 ÷ 89 =
  2. 2.130531 ÷ 989 =
  3. 3.457095 ÷ 988 =
  4. 4.20403 ÷ 89 =
  5. 5.31653 ÷ 98 =
  6. 6.558187 ÷ 989 =
  7. 7.83589 ÷ 89 =
  8. 8.965098 ÷ 989 =
  9. 9.604021 ÷ 988 =
  10. 10.469939 ÷ 997 =
  11. 11.97775 ÷ 97 =
  12. 12.197406 ÷ 988 =
  13. 13.777316 ÷ 897 =
  14. 14.64545 ÷ 98 =
  15. 15.45703 ÷ 98 =
  16. 16.70695 ÷ 98 =
  17. 17.951075 ÷ 897 =
  18. 18.8497 ÷ 8 =
  19. 19.53669 ÷ 98 =
  20. 20.888587 ÷ 897 =
  21. 21.9811 ÷ 8 =
  22. 22.76018 ÷ 98 =
  23. 23.97970 ÷ 998 =
  24. 24.785624 ÷ 997 =
  25. 25.85995 ÷ 88 =
  26. 26.663632 ÷ 998 =
  27. 27.796938 ÷ 988 =
  28. 28.52840 ÷ 97 =
  29. 29.496300 ÷ 997 =
  30. 30.9083 ÷ 88 =
  31. 31.14724 ÷ 96 =
  32. 32.6892 ÷ 8 =
  33. 33.150592 ÷ 989 =
  34. 34.99263 ÷ 97 =
  35. 35.11885 ÷ 97 =
  36. 36.7179 ÷ 8 =
  37. 37.655641 ÷ 997 =
  38. 38.413543 ÷ 989 =
  39. 39.7255 ÷ 8 =
  40. 40.993540 ÷ 997 =

Answer key

  1. 707 rem 2
  2. 131 rem 972
  3. 462 rem 639
  4. 229 rem 22
  5. 322 rem 97
  6. 564 rem 391
  7. 939 rem 18
  8. 975 rem 823
  9. 611 rem 353
  10. 471 rem 352
  11. 1007 rem 96
  12. 199 rem 794
  13. 866 rem 514
  14. 658 rem 61
  15. 466 rem 35
  16. 721 rem 37
  17. 1060 rem 255
  18. 1062 rem 1
  19. 547 rem 63
  20. 990 rem 557
  21. 1226 rem 3
  22. 775 rem 68
  23. 98 rem 166
  24. 787 rem 985
  25. 977 rem 19
  26. 664 rem 960
  27. 806 rem 610
  28. 544 rem 72
  29. 497 rem 791
  30. 103 rem 19
  31. 153 rem 36
  32. 861 rem 4
  33. 152 rem 264
  34. 1023 rem 32
  35. 122 rem 51
  36. 897 rem 3
  37. 657 rem 612
  38. 418 rem 141
  39. 906 rem 7
  40. 996 rem 528

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