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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 133 · 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. 1.645494 ÷ 989 =
  2. 2.719794 ÷ 988 =
  3. 3.967364 ÷ 997 =
  4. 4.300008 ÷ 989 =
  5. 5.9097 ÷ 8 =
  6. 6.562216 ÷ 989 =
  7. 7.476271 ÷ 998 =
  8. 8.776689 ÷ 998 =
  9. 9.1813 ÷ 8 =
  10. 10.158654 ÷ 998 =
  11. 11.921429 ÷ 989 =
  12. 12.9083 ÷ 8 =
  13. 13.50610 ÷ 96 =
  14. 14.89773 ÷ 897 =
  15. 15.27400 ÷ 89 =
  16. 16.879727 ÷ 997 =
  17. 17.125718 ÷ 997 =
  18. 18.13435 ÷ 89 =
  19. 19.394763 ÷ 998 =
  20. 20.69814 ÷ 88 =
  21. 21.638355 ÷ 998 =
  22. 22.6596 ÷ 8 =
  23. 23.85206 ÷ 96 =
  24. 24.900485 ÷ 997 =
  25. 25.18966 ÷ 96 =
  26. 26.13966 ÷ 96 =
  27. 27.658769 ÷ 997 =
  28. 28.621624 ÷ 998 =
  29. 29.779046 ÷ 897 =
  30. 30.3555 ÷ 8 =
  31. 31.54371 ÷ 88 =
  32. 32.48166 ÷ 98 =
  33. 33.701 ÷ 8 =
  34. 34.10837 ÷ 96 =
  35. 35.418285 ÷ 997 =
  36. 36.5402 ÷ 98 =
  37. 37.2366 ÷ 8 =
  38. 38.512007 ÷ 897 =
  39. 39.991863 ÷ 989 =
  40. 40.406699 ÷ 897 =

Answer key

  1. 652 rem 666
  2. 728 rem 530
  3. 970 rem 274
  4. 303 rem 341
  5. 1137 rem 1
  6. 568 rem 464
  7. 477 rem 225
  8. 778 rem 245
  9. 226 rem 5
  10. 158 rem 970
  11. 931 rem 670
  12. 1135 rem 3
  13. 527 rem 18
  14. 100 rem 73
  15. 307 rem 77
  16. 882 rem 373
  17. 126 rem 96
  18. 150 rem 85
  19. 395 rem 553
  20. 793 rem 30
  21. 639 rem 633
  22. 824 rem 4
  23. 887 rem 54
  24. 903 rem 194
  25. 197 rem 54
  26. 145 rem 46
  27. 660 rem 749
  28. 622 rem 868
  29. 868 rem 450
  30. 444 rem 3
  31. 617 rem 75
  32. 491 rem 48
  33. 87 rem 5
  34. 112 rem 85
  35. 419 rem 542
  36. 55 rem 12
  37. 295 rem 6
  38. 570 rem 717
  39. 1002 rem 885
  40. 453 rem 358

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