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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 475 · 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. 1.7885 ÷ 8 =
  2. 2.41712 ÷ 96 =
  3. 3.36181 ÷ 96 =
  4. 4.606370 ÷ 897 =
  5. 5.8967 ÷ 88 =
  6. 6.964070 ÷ 998 =
  7. 7.23352 ÷ 998 =
  8. 8.467194 ÷ 988 =
  9. 9.439464 ÷ 989 =
  10. 10.658529 ÷ 989 =
  11. 11.14015 ÷ 98 =
  12. 12.48364 ÷ 96 =
  13. 13.88124 ÷ 88 =
  14. 14.283976 ÷ 998 =
  15. 15.82314 ÷ 98 =
  16. 16.62682 ÷ 88 =
  17. 17.503519 ÷ 997 =
  18. 18.389581 ÷ 988 =
  19. 19.16719 ÷ 89 =
  20. 20.3595 ÷ 8 =
  21. 21.73418 ÷ 998 =
  22. 22.898389 ÷ 989 =
  23. 23.8585 ÷ 8 =
  24. 24.6908 ÷ 97 =
  25. 25.942376 ÷ 988 =
  26. 26.828390 ÷ 998 =
  27. 27.45743 ÷ 96 =
  28. 28.562417 ÷ 997 =
  29. 29.24402 ÷ 97 =
  30. 30.102201 ÷ 988 =
  31. 31.635014 ÷ 897 =
  32. 32.82612 ÷ 88 =
  33. 33.889987 ÷ 989 =
  34. 34.35935 ÷ 96 =
  35. 35.275058 ÷ 997 =
  36. 36.20723 ÷ 96 =
  37. 37.65998 ÷ 98 =
  38. 38.66141 ÷ 98 =
  39. 39.42398 ÷ 897 =
  40. 40.43115 ÷ 97 =

Answer key

  1. 985 rem 5
  2. 434 rem 48
  3. 376 rem 85
  4. 675 rem 895
  5. 101 rem 79
  6. 966 rem 2
  7. 23 rem 398
  8. 472 rem 858
  9. 444 rem 348
  10. 665 rem 844
  11. 143 rem 1
  12. 503 rem 76
  13. 1001 rem 36
  14. 284 rem 544
  15. 839 rem 92
  16. 712 rem 26
  17. 505 rem 34
  18. 394 rem 309
  19. 187 rem 76
  20. 449 rem 3
  21. 73 rem 564
  22. 908 rem 377
  23. 1073 rem 1
  24. 71 rem 21
  25. 953 rem 812
  26. 830 rem 50
  27. 476 rem 47
  28. 564 rem 109
  29. 251 rem 55
  30. 103 rem 437
  31. 707 rem 835
  32. 938 rem 68
  33. 899 rem 876
  34. 374 rem 31
  35. 275 rem 883
  36. 215 rem 83
  37. 673 rem 44
  38. 674 rem 89
  39. 47 rem 239
  40. 444 rem 47

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