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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 881 · 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. 1.306367 ÷ 989 =
  2. 2.688169 ÷ 988 =
  3. 3.377848 ÷ 897 =
  4. 4.59007 ÷ 97 =
  5. 5.414115 ÷ 998 =
  6. 6.8386 ÷ 96 =
  7. 7.902555 ÷ 988 =
  8. 8.338289 ÷ 897 =
  9. 9.51446 ÷ 97 =
  10. 10.231399 ÷ 989 =
  11. 11.612379 ÷ 988 =
  12. 12.72394 ÷ 97 =
  13. 13.775754 ÷ 897 =
  14. 14.9853 ÷ 8 =
  15. 15.7499 ÷ 8 =
  16. 16.723951 ÷ 998 =
  17. 17.4126 ÷ 98 =
  18. 18.744740 ÷ 988 =
  19. 19.36539 ÷ 88 =
  20. 20.47545 ÷ 989 =
  21. 21.75347 ÷ 96 =
  22. 22.45628 ÷ 98 =
  23. 23.94258 ÷ 98 =
  24. 24.701590 ÷ 897 =
  25. 25.21769 ÷ 89 =
  26. 26.183648 ÷ 897 =
  27. 27.64430 ÷ 96 =
  28. 28.50864 ÷ 89 =
  29. 29.205155 ÷ 998 =
  30. 30.75537 ÷ 989 =
  31. 31.3595 ÷ 8 =
  32. 32.23699 ÷ 97 =
  33. 33.362326 ÷ 997 =
  34. 34.32321 ÷ 96 =
  35. 35.39557 ÷ 88 =
  36. 36.11618 ÷ 88 =
  37. 37.328803 ÷ 998 =
  38. 38.47597 ÷ 98 =
  39. 39.62412 ÷ 97 =
  40. 40.1315 ÷ 8 =

Answer key

  1. 309 rem 766
  2. 696 rem 521
  3. 421 rem 211
  4. 608 rem 31
  5. 414 rem 943
  6. 87 rem 34
  7. 913 rem 511
  8. 377 rem 120
  9. 530 rem 36
  10. 233 rem 962
  11. 619 rem 807
  12. 746 rem 32
  13. 864 rem 746
  14. 1231 rem 5
  15. 937 rem 3
  16. 725 rem 401
  17. 42 rem 10
  18. 753 rem 776
  19. 415 rem 19
  20. 48 rem 73
  21. 784 rem 83
  22. 465 rem 58
  23. 961 rem 80
  24. 782 rem 136
  25. 244 rem 53
  26. 204 rem 660
  27. 671 rem 14
  28. 571 rem 45
  29. 205 rem 565
  30. 76 rem 373
  31. 449 rem 3
  32. 244 rem 31
  33. 363 rem 415
  34. 336 rem 65
  35. 449 rem 45
  36. 132 rem 2
  37. 329 rem 461
  38. 485 rem 67
  39. 643 rem 41
  40. 164 rem 3

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