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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 377 · 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. 1.922482 ÷ 988 =
  2. 2.33217 ÷ 98 =
  3. 3.445608 ÷ 997 =
  4. 4.559924 ÷ 997 =
  5. 5.87533 ÷ 98 =
  6. 6.283288 ÷ 897 =
  7. 7.7326 ÷ 89 =
  8. 8.909571 ÷ 989 =
  9. 9.22476 ÷ 97 =
  10. 10.33671 ÷ 98 =
  11. 11.448388 ÷ 989 =
  12. 12.1191 ÷ 8 =
  13. 13.755459 ÷ 997 =
  14. 14.2106 ÷ 8 =
  15. 15.1642 ÷ 8 =
  16. 16.628643 ÷ 998 =
  17. 17.103449 ÷ 997 =
  18. 18.513747 ÷ 988 =
  19. 19.574903 ÷ 897 =
  20. 20.286308 ÷ 997 =
  21. 21.76755 ÷ 98 =
  22. 22.71479 ÷ 96 =
  23. 23.58075 ÷ 96 =
  24. 24.60461 ÷ 98 =
  25. 25.13495 ÷ 88 =
  26. 26.864204 ÷ 897 =
  27. 27.5430 ÷ 8 =
  28. 28.29950 ÷ 97 =
  29. 29.240533 ÷ 989 =
  30. 30.1038 ÷ 88 =
  31. 31.164213 ÷ 897 =
  32. 32.59457 ÷ 98 =
  33. 33.47562 ÷ 89 =
  34. 34.95608 ÷ 97 =
  35. 35.548550 ÷ 997 =
  36. 36.848347 ÷ 897 =
  37. 37.40072 ÷ 97 =
  38. 38.873414 ÷ 897 =
  39. 39.88737 ÷ 89 =
  40. 40.487311 ÷ 988 =

Answer key

  1. 933 rem 678
  2. 338 rem 93
  3. 446 rem 946
  4. 561 rem 607
  5. 893 rem 19
  6. 315 rem 733
  7. 82 rem 28
  8. 919 rem 680
  9. 231 rem 69
  10. 343 rem 57
  11. 453 rem 371
  12. 148 rem 7
  13. 757 rem 730
  14. 263 rem 2
  15. 205 rem 2
  16. 629 rem 901
  17. 103 rem 758
  18. 519 rem 975
  19. 640 rem 823
  20. 287 rem 169
  21. 783 rem 21
  22. 744 rem 55
  23. 604 rem 91
  24. 616 rem 93
  25. 153 rem 31
  26. 963 rem 393
  27. 678 rem 6
  28. 308 rem 74
  29. 243 rem 206
  30. 11 rem 70
  31. 183 rem 62
  32. 606 rem 69
  33. 534 rem 36
  34. 985 rem 63
  35. 550 rem 200
  36. 945 rem 682
  37. 413 rem 11
  38. 973 rem 633
  39. 997 rem 4
  40. 493 rem 227

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