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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 320 · 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. 1.7186 ÷ 8 =
  2. 2.392832 ÷ 897 =
  3. 3.86471 ÷ 98 =
  4. 4.14077 ÷ 89 =
  5. 5.6887 ÷ 89 =
  6. 6.186528 ÷ 988 =
  7. 7.20430 ÷ 97 =
  8. 8.58223 ÷ 97 =
  9. 9.3457 ÷ 8 =
  10. 10.7410 ÷ 8 =
  11. 11.72797 ÷ 998 =
  12. 12.937810 ÷ 988 =
  13. 13.433838 ÷ 988 =
  14. 14.264522 ÷ 988 =
  15. 15.8393 ÷ 8 =
  16. 16.280859 ÷ 897 =
  17. 17.927853 ÷ 997 =
  18. 18.892655 ÷ 997 =
  19. 19.875828 ÷ 989 =
  20. 20.490291 ÷ 998 =
  21. 21.80479 ÷ 89 =
  22. 22.224480 ÷ 988 =
  23. 23.26056 ÷ 97 =
  24. 24.492147 ÷ 989 =
  25. 25.425034 ÷ 988 =
  26. 26.5548 ÷ 8 =
  27. 27.64184 ÷ 96 =
  28. 28.3099 ÷ 8 =
  29. 29.48396 ÷ 97 =
  30. 30.2208 ÷ 98 =
  31. 31.45159 ÷ 96 =
  32. 32.86391 ÷ 98 =
  33. 33.411866 ÷ 989 =
  34. 34.242653 ÷ 989 =
  35. 35.463219 ÷ 988 =
  36. 36.473661 ÷ 997 =
  37. 37.8933 ÷ 98 =
  38. 38.7424 ÷ 8 =
  39. 39.476868 ÷ 988 =
  40. 40.71327 ÷ 96 =

Answer key

  1. 898 rem 2
  2. 437 rem 843
  3. 882 rem 35
  4. 158 rem 15
  5. 77 rem 34
  6. 188 rem 784
  7. 210 rem 60
  8. 600 rem 23
  9. 432 rem 1
  10. 926 rem 2
  11. 72 rem 941
  12. 949 rem 198
  13. 439 rem 106
  14. 267 rem 726
  15. 1049 rem 1
  16. 313 rem 98
  17. 930 rem 643
  18. 895 rem 340
  19. 885 rem 563
  20. 491 rem 273
  21. 904 rem 23
  22. 227 rem 204
  23. 268 rem 60
  24. 497 rem 614
  25. 430 rem 194
  26. 693 rem 4
  27. 668 rem 56
  28. 387 rem 3
  29. 498 rem 90
  30. 22 rem 52
  31. 470 rem 39
  32. 881 rem 53
  33. 416 rem 442
  34. 245 rem 348
  35. 468 rem 835
  36. 475 rem 86
  37. 91 rem 15
  38. 928 rem 0
  39. 482 rem 652
  40. 742 rem 95

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