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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 792 · 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. 1.1286 ÷ 8 =
  2. 2.93206 ÷ 89 =
  3. 3.42075 ÷ 897 =
  4. 4.228666 ÷ 897 =
  5. 5.39361 ÷ 96 =
  6. 6.55711 ÷ 89 =
  7. 7.887749 ÷ 989 =
  8. 8.407104 ÷ 989 =
  9. 9.7645 ÷ 8 =
  10. 10.25813 ÷ 88 =
  11. 11.97113 ÷ 88 =
  12. 12.562552 ÷ 997 =
  13. 13.42924 ÷ 89 =
  14. 14.55101 ÷ 97 =
  15. 15.618296 ÷ 989 =
  16. 16.5847 ÷ 8 =
  17. 17.475014 ÷ 897 =
  18. 18.61128 ÷ 96 =
  19. 19.187039 ÷ 989 =
  20. 20.391722 ÷ 988 =
  21. 21.38368 ÷ 897 =
  22. 22.98538 ÷ 89 =
  23. 23.242820 ÷ 989 =
  24. 24.62703 ÷ 98 =
  25. 25.641333 ÷ 998 =
  26. 26.211055 ÷ 997 =
  27. 27.83380 ÷ 88 =
  28. 28.156320 ÷ 988 =
  29. 29.554817 ÷ 997 =
  30. 30.9088 ÷ 8 =
  31. 31.618901 ÷ 989 =
  32. 32.781210 ÷ 998 =
  33. 33.588322 ÷ 997 =
  34. 34.748337 ÷ 989 =
  35. 35.128237 ÷ 988 =
  36. 36.133706 ÷ 997 =
  37. 37.97693 ÷ 89 =
  38. 38.75570 ÷ 989 =
  39. 39.388163 ÷ 989 =
  40. 40.5375 ÷ 8 =

Answer key

  1. 160 rem 6
  2. 1047 rem 23
  3. 46 rem 813
  4. 254 rem 828
  5. 410 rem 1
  6. 625 rem 86
  7. 897 rem 616
  8. 411 rem 625
  9. 955 rem 5
  10. 293 rem 29
  11. 1103 rem 49
  12. 564 rem 244
  13. 482 rem 26
  14. 568 rem 5
  15. 625 rem 171
  16. 730 rem 7
  17. 529 rem 501
  18. 636 rem 72
  19. 189 rem 118
  20. 396 rem 474
  21. 42 rem 694
  22. 1107 rem 15
  23. 245 rem 515
  24. 639 rem 81
  25. 642 rem 617
  26. 211 rem 688
  27. 947 rem 44
  28. 158 rem 216
  29. 556 rem 485
  30. 1136 rem 0
  31. 625 rem 776
  32. 782 rem 774
  33. 590 rem 92
  34. 756 rem 653
  35. 129 rem 785
  36. 134 rem 108
  37. 1097 rem 60
  38. 76 rem 406
  39. 392 rem 475
  40. 671 rem 7

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