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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 683 · 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. 1.900645 ÷ 897 =
  2. 2.11535 ÷ 88 =
  3. 3.89433 ÷ 89 =
  4. 4.938556 ÷ 997 =
  5. 5.56373 ÷ 997 =
  6. 6.3580 ÷ 89 =
  7. 7.64078 ÷ 89 =
  8. 8.623713 ÷ 897 =
  9. 9.45872 ÷ 96 =
  10. 10.2631 ÷ 8 =
  11. 11.31702 ÷ 89 =
  12. 12.993047 ÷ 997 =
  13. 13.502535 ÷ 989 =
  14. 14.1243 ÷ 97 =
  15. 15.31545 ÷ 97 =
  16. 16.26306 ÷ 96 =
  17. 17.55109 ÷ 96 =
  18. 18.365776 ÷ 989 =
  19. 19.36283 ÷ 97 =
  20. 20.213921 ÷ 998 =
  21. 21.59822 ÷ 96 =
  22. 22.6312 ÷ 89 =
  23. 23.641858 ÷ 997 =
  24. 24.347784 ÷ 897 =
  25. 25.24099 ÷ 98 =
  26. 26.75752 ÷ 98 =
  27. 27.62520 ÷ 96 =
  28. 28.31637 ÷ 98 =
  29. 29.260960 ÷ 997 =
  30. 30.11417 ÷ 98 =
  31. 31.27829 ÷ 97 =
  32. 32.18305 ÷ 98 =
  33. 33.735130 ÷ 988 =
  34. 34.79368 ÷ 88 =
  35. 35.6805 ÷ 8 =
  36. 36.76511 ÷ 97 =
  37. 37.43781 ÷ 97 =
  38. 38.98278 ÷ 997 =
  39. 39.745139 ÷ 988 =
  40. 40.79656 ÷ 88 =

Answer key

  1. 1004 rem 57
  2. 131 rem 7
  3. 1004 rem 77
  4. 941 rem 379
  5. 56 rem 541
  6. 40 rem 20
  7. 719 rem 87
  8. 695 rem 298
  9. 477 rem 80
  10. 328 rem 7
  11. 356 rem 18
  12. 996 rem 35
  13. 508 rem 123
  14. 12 rem 79
  15. 325 rem 20
  16. 274 rem 2
  17. 574 rem 5
  18. 369 rem 835
  19. 374 rem 5
  20. 214 rem 349
  21. 623 rem 14
  22. 70 rem 82
  23. 643 rem 787
  24. 387 rem 645
  25. 245 rem 89
  26. 772 rem 96
  27. 651 rem 24
  28. 322 rem 81
  29. 261 rem 743
  30. 116 rem 49
  31. 286 rem 87
  32. 186 rem 77
  33. 744 rem 58
  34. 901 rem 80
  35. 850 rem 5
  36. 788 rem 75
  37. 451 rem 34
  38. 98 rem 572
  39. 754 rem 187
  40. 905 rem 16

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