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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 156 · 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. 1.83165 ÷ 98 =
  2. 2.50140 ÷ 89 =
  3. 3.1079 ÷ 98 =
  4. 4.46755 ÷ 97 =
  5. 5.50771 ÷ 89 =
  6. 6.84463 ÷ 88 =
  7. 7.4569 ÷ 8 =
  8. 8.778041 ÷ 998 =
  9. 9.3482 ÷ 8 =
  10. 10.2387 ÷ 8 =
  11. 11.37431 ÷ 97 =
  12. 12.16356 ÷ 96 =
  13. 13.510883 ÷ 997 =
  14. 14.71180 ÷ 88 =
  15. 15.27756 ÷ 97 =
  16. 16.85916 ÷ 98 =
  17. 17.40164 ÷ 89 =
  18. 18.755575 ÷ 989 =
  19. 19.2215 ÷ 8 =
  20. 20.147345 ÷ 897 =
  21. 21.9523 ÷ 8 =
  22. 22.254815 ÷ 997 =
  23. 23.7297 ÷ 8 =
  24. 24.67898 ÷ 98 =
  25. 25.225270 ÷ 988 =
  26. 26.201364 ÷ 998 =
  27. 27.62353 ÷ 89 =
  28. 28.19799 ÷ 96 =
  29. 29.48886 ÷ 97 =
  30. 30.122974 ÷ 988 =
  31. 31.1918 ÷ 8 =
  32. 32.435011 ÷ 897 =
  33. 33.92511 ÷ 96 =
  34. 34.419235 ÷ 997 =
  35. 35.4851 ÷ 96 =
  36. 36.25352 ÷ 98 =
  37. 37.463555 ÷ 998 =
  38. 38.57183 ÷ 89 =
  39. 39.8519 ÷ 97 =
  40. 40.912026 ÷ 989 =

Answer key

  1. 848 rem 61
  2. 563 rem 33
  3. 11 rem 1
  4. 482 rem 1
  5. 570 rem 41
  6. 959 rem 71
  7. 571 rem 1
  8. 779 rem 599
  9. 435 rem 2
  10. 298 rem 3
  11. 385 rem 86
  12. 170 rem 36
  13. 512 rem 419
  14. 808 rem 76
  15. 286 rem 14
  16. 876 rem 68
  17. 451 rem 25
  18. 763 rem 968
  19. 276 rem 7
  20. 164 rem 237
  21. 1190 rem 3
  22. 255 rem 580
  23. 912 rem 1
  24. 692 rem 82
  25. 228 rem 6
  26. 201 rem 766
  27. 700 rem 53
  28. 206 rem 23
  29. 503 rem 95
  30. 124 rem 462
  31. 239 rem 6
  32. 484 rem 863
  33. 963 rem 63
  34. 420 rem 495
  35. 50 rem 51
  36. 258 rem 68
  37. 464 rem 483
  38. 642 rem 45
  39. 87 rem 80
  40. 922 rem 168

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