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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 617 · 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. 1.9027 ÷ 8 =
  2. 2.2303 ÷ 98 =
  3. 3.82444 ÷ 998 =
  4. 4.63046 ÷ 98 =
  5. 5.20011 ÷ 88 =
  6. 6.683411 ÷ 989 =
  7. 7.891507 ÷ 897 =
  8. 8.254649 ÷ 989 =
  9. 9.448609 ÷ 998 =
  10. 10.35551 ÷ 97 =
  11. 11.348588 ÷ 998 =
  12. 12.198268 ÷ 998 =
  13. 13.99754 ÷ 88 =
  14. 14.887479 ÷ 988 =
  15. 15.941382 ÷ 989 =
  16. 16.27290 ÷ 88 =
  17. 17.57154 ÷ 96 =
  18. 18.12015 ÷ 998 =
  19. 19.19586 ÷ 97 =
  20. 20.62417 ÷ 897 =
  21. 21.991973 ÷ 988 =
  22. 22.851535 ÷ 988 =
  23. 23.8574 ÷ 98 =
  24. 24.10747 ÷ 96 =
  25. 25.3119 ÷ 8 =
  26. 26.71021 ÷ 88 =
  27. 27.95333 ÷ 96 =
  28. 28.80773 ÷ 89 =
  29. 29.37148 ÷ 97 =
  30. 30.3448 ÷ 89 =
  31. 31.29956 ÷ 88 =
  32. 32.353004 ÷ 997 =
  33. 33.90058 ÷ 89 =
  34. 34.849646 ÷ 989 =
  35. 35.911771 ÷ 988 =
  36. 36.204384 ÷ 997 =
  37. 37.217693 ÷ 897 =
  38. 38.969849 ÷ 989 =
  39. 39.26978 ÷ 96 =
  40. 40.9740 ÷ 89 =

Answer key

  1. 1128 rem 3
  2. 23 rem 49
  3. 82 rem 608
  4. 643 rem 32
  5. 227 rem 35
  6. 691 rem 12
  7. 993 rem 786
  8. 257 rem 476
  9. 449 rem 507
  10. 366 rem 49
  11. 349 rem 286
  12. 198 rem 664
  13. 1133 rem 50
  14. 898 rem 255
  15. 951 rem 843
  16. 310 rem 10
  17. 595 rem 34
  18. 12 rem 39
  19. 201 rem 89
  20. 69 rem 524
  21. 1004 rem 21
  22. 861 rem 867
  23. 87 rem 48
  24. 111 rem 91
  25. 389 rem 7
  26. 807 rem 5
  27. 993 rem 5
  28. 907 rem 50
  29. 382 rem 94
  30. 38 rem 66
  31. 340 rem 36
  32. 354 rem 66
  33. 1011 rem 79
  34. 859 rem 95
  35. 922 rem 835
  36. 204 rem 996
  37. 242 rem 619
  38. 980 rem 629
  39. 281 rem 2
  40. 109 rem 39

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