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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 274 · 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. 1.99170 ÷ 89 =
  2. 2.5071 ÷ 8 =
  3. 3.359684 ÷ 989 =
  4. 4.139224 ÷ 989 =
  5. 5.518521 ÷ 988 =
  6. 6.107369 ÷ 998 =
  7. 7.202168 ÷ 997 =
  8. 8.89532 ÷ 98 =
  9. 9.75969 ÷ 88 =
  10. 10.37623 ÷ 88 =
  11. 11.58153 ÷ 989 =
  12. 12.65512 ÷ 88 =
  13. 13.5333 ÷ 98 =
  14. 14.86300 ÷ 88 =
  15. 15.38374 ÷ 96 =
  16. 16.86954 ÷ 96 =
  17. 17.377113 ÷ 988 =
  18. 18.441474 ÷ 997 =
  19. 19.248979 ÷ 997 =
  20. 20.844871 ÷ 989 =
  21. 21.695461 ÷ 988 =
  22. 22.7996 ÷ 98 =
  23. 23.563699 ÷ 897 =
  24. 24.389030 ÷ 989 =
  25. 25.120691 ÷ 989 =
  26. 26.16883 ÷ 88 =
  27. 27.55718 ÷ 98 =
  28. 28.27005 ÷ 88 =
  29. 29.67221 ÷ 88 =
  30. 30.581988 ÷ 998 =
  31. 31.88939 ÷ 998 =
  32. 32.26280 ÷ 88 =
  33. 33.580507 ÷ 998 =
  34. 34.8235 ÷ 8 =
  35. 35.673426 ÷ 989 =
  36. 36.679417 ÷ 988 =
  37. 37.84220 ÷ 97 =
  38. 38.7085 ÷ 8 =
  39. 39.58574 ÷ 88 =
  40. 40.9985 ÷ 8 =

Answer key

  1. 1114 rem 24
  2. 633 rem 7
  3. 363 rem 677
  4. 140 rem 764
  5. 524 rem 809
  6. 107 rem 583
  7. 202 rem 774
  8. 913 rem 58
  9. 863 rem 25
  10. 427 rem 47
  11. 58 rem 791
  12. 744 rem 40
  13. 54 rem 41
  14. 980 rem 60
  15. 399 rem 70
  16. 905 rem 74
  17. 381 rem 685
  18. 442 rem 800
  19. 249 rem 726
  20. 854 rem 265
  21. 703 rem 897
  22. 81 rem 58
  23. 628 rem 383
  24. 393 rem 353
  25. 122 rem 33
  26. 191 rem 75
  27. 568 rem 54
  28. 306 rem 77
  29. 763 rem 77
  30. 583 rem 154
  31. 89 rem 117
  32. 298 rem 56
  33. 581 rem 669
  34. 1029 rem 3
  35. 680 rem 906
  36. 687 rem 661
  37. 868 rem 24
  38. 885 rem 5
  39. 665 rem 54
  40. 1248 rem 1

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