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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 959 · 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. 1.855435 ÷ 988 =
  2. 2.380705 ÷ 997 =
  3. 3.252654 ÷ 988 =
  4. 4.50815 ÷ 97 =
  5. 5.8207 ÷ 8 =
  6. 6.15307 ÷ 89 =
  7. 7.91868 ÷ 97 =
  8. 8.72992 ÷ 98 =
  9. 9.94967 ÷ 88 =
  10. 10.69733 ÷ 88 =
  11. 11.904558 ÷ 989 =
  12. 12.83272 ÷ 97 =
  13. 13.30601 ÷ 98 =
  14. 14.34496 ÷ 96 =
  15. 15.21898 ÷ 96 =
  16. 16.9371 ÷ 8 =
  17. 17.94834 ÷ 98 =
  18. 18.614201 ÷ 998 =
  19. 19.590417 ÷ 897 =
  20. 20.20893 ÷ 97 =
  21. 21.57736 ÷ 96 =
  22. 22.290659 ÷ 998 =
  23. 23.389735 ÷ 897 =
  24. 24.60756 ÷ 88 =
  25. 25.51871 ÷ 98 =
  26. 26.38483 ÷ 89 =
  27. 27.22369 ÷ 96 =
  28. 28.111538 ÷ 897 =
  29. 29.238074 ÷ 998 =
  30. 30.906129 ÷ 988 =
  31. 31.25160 ÷ 88 =
  32. 32.54248 ÷ 89 =
  33. 33.58715 ÷ 89 =
  34. 34.558682 ÷ 988 =
  35. 35.903133 ÷ 997 =
  36. 36.110853 ÷ 997 =
  37. 37.182395 ÷ 989 =
  38. 38.39449 ÷ 96 =
  39. 39.570053 ÷ 988 =
  40. 40.27124 ÷ 96 =

Answer key

  1. 865 rem 815
  2. 381 rem 848
  3. 255 rem 714
  4. 523 rem 84
  5. 1025 rem 7
  6. 171 rem 88
  7. 947 rem 9
  8. 744 rem 80
  9. 1079 rem 15
  10. 792 rem 37
  11. 914 rem 612
  12. 858 rem 46
  13. 312 rem 25
  14. 359 rem 32
  15. 228 rem 10
  16. 1171 rem 3
  17. 967 rem 68
  18. 615 rem 431
  19. 658 rem 191
  20. 215 rem 38
  21. 601 rem 40
  22. 291 rem 241
  23. 434 rem 437
  24. 690 rem 36
  25. 529 rem 29
  26. 432 rem 35
  27. 233 rem 1
  28. 124 rem 310
  29. 238 rem 550
  30. 917 rem 133
  31. 285 rem 80
  32. 609 rem 47
  33. 659 rem 64
  34. 565 rem 462
  35. 905 rem 848
  36. 111 rem 186
  37. 184 rem 419
  38. 410 rem 89
  39. 576 rem 965
  40. 282 rem 52

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