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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 522 · 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. 1.63755 ÷ 96 =
  2. 2.648888 ÷ 997 =
  3. 3.262329 ÷ 997 =
  4. 4.767474 ÷ 989 =
  5. 5.65710 ÷ 96 =
  6. 6.81265 ÷ 98 =
  7. 7.65377 ÷ 88 =
  8. 8.46821 ÷ 997 =
  9. 9.107809 ÷ 897 =
  10. 10.142285 ÷ 897 =
  11. 11.608836 ÷ 897 =
  12. 12.233908 ÷ 997 =
  13. 13.25578 ÷ 897 =
  14. 14.634843 ÷ 897 =
  15. 15.1201 ÷ 8 =
  16. 16.226228 ÷ 988 =
  17. 17.4022 ÷ 8 =
  18. 18.199590 ÷ 989 =
  19. 19.23913 ÷ 98 =
  20. 20.90805 ÷ 98 =
  21. 21.450183 ÷ 897 =
  22. 22.69793 ÷ 89 =
  23. 23.70040 ÷ 989 =
  24. 24.661077 ÷ 998 =
  25. 25.932333 ÷ 897 =
  26. 26.360543 ÷ 997 =
  27. 27.29089 ÷ 97 =
  28. 28.755184 ÷ 988 =
  29. 29.29386 ÷ 97 =
  30. 30.715507 ÷ 998 =
  31. 31.79228 ÷ 97 =
  32. 32.27863 ÷ 98 =
  33. 33.8268 ÷ 8 =
  34. 34.6648 ÷ 8 =
  35. 35.4796 ÷ 88 =
  36. 36.151682 ÷ 997 =
  37. 37.52704 ÷ 89 =
  38. 38.570100 ÷ 998 =
  39. 39.1490 ÷ 8 =
  40. 40.982604 ÷ 998 =

Answer key

  1. 664 rem 11
  2. 650 rem 838
  3. 263 rem 118
  4. 776 rem 10
  5. 684 rem 46
  6. 829 rem 23
  7. 742 rem 81
  8. 46 rem 959
  9. 120 rem 169
  10. 158 rem 559
  11. 678 rem 670
  12. 234 rem 610
  13. 28 rem 462
  14. 707 rem 664
  15. 150 rem 1
  16. 228 rem 964
  17. 502 rem 6
  18. 201 rem 801
  19. 244 rem 1
  20. 926 rem 57
  21. 501 rem 786
  22. 784 rem 17
  23. 70 rem 810
  24. 662 rem 401
  25. 1039 rem 350
  26. 361 rem 626
  27. 299 rem 86
  28. 764 rem 352
  29. 302 rem 92
  30. 716 rem 939
  31. 816 rem 76
  32. 284 rem 31
  33. 1033 rem 4
  34. 831 rem 0
  35. 54 rem 44
  36. 152 rem 138
  37. 592 rem 16
  38. 571 rem 242
  39. 186 rem 2
  40. 984 rem 572

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