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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 602 · 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. 1.18031 ÷ 98 =
  2. 2.267029 ÷ 988 =
  3. 3.90278 ÷ 98 =
  4. 4.55034 ÷ 98 =
  5. 5.50475 ÷ 98 =
  6. 6.875061 ÷ 989 =
  7. 7.520738 ÷ 998 =
  8. 8.29518 ÷ 97 =
  9. 9.4627 ÷ 8 =
  10. 10.5485 ÷ 8 =
  11. 11.246705 ÷ 998 =
  12. 12.75188 ÷ 98 =
  13. 13.2830 ÷ 98 =
  14. 14.9628 ÷ 8 =
  15. 15.759083 ÷ 998 =
  16. 16.23669 ÷ 97 =
  17. 17.297889 ÷ 989 =
  18. 18.245144 ÷ 897 =
  19. 19.41658 ÷ 97 =
  20. 20.23447 ÷ 98 =
  21. 21.700531 ÷ 988 =
  22. 22.646144 ÷ 897 =
  23. 23.27831 ÷ 89 =
  24. 24.447391 ÷ 897 =
  25. 25.29453 ÷ 98 =
  26. 26.911545 ÷ 897 =
  27. 27.823064 ÷ 989 =
  28. 28.680850 ÷ 998 =
  29. 29.50605 ÷ 96 =
  30. 30.26347 ÷ 96 =
  31. 31.29476 ÷ 97 =
  32. 32.52682 ÷ 97 =
  33. 33.26210 ÷ 89 =
  34. 34.83449 ÷ 98 =
  35. 35.72070 ÷ 89 =
  36. 36.661 ÷ 8 =
  37. 37.50175 ÷ 89 =
  38. 38.9363 ÷ 8 =
  39. 39.18977 ÷ 89 =
  40. 40.52924 ÷ 97 =

Answer key

  1. 183 rem 97
  2. 270 rem 269
  3. 921 rem 20
  4. 561 rem 56
  5. 515 rem 5
  6. 884 rem 785
  7. 521 rem 780
  8. 304 rem 30
  9. 578 rem 3
  10. 685 rem 5
  11. 247 rem 199
  12. 767 rem 22
  13. 28 rem 86
  14. 1203 rem 4
  15. 760 rem 603
  16. 244 rem 1
  17. 301 rem 200
  18. 273 rem 263
  19. 429 rem 45
  20. 239 rem 25
  21. 709 rem 39
  22. 720 rem 304
  23. 312 rem 63
  24. 498 rem 685
  25. 300 rem 53
  26. 1016 rem 193
  27. 832 rem 216
  28. 682 rem 214
  29. 527 rem 13
  30. 274 rem 43
  31. 303 rem 85
  32. 543 rem 11
  33. 294 rem 44
  34. 851 rem 51
  35. 809 rem 69
  36. 82 rem 5
  37. 563 rem 68
  38. 1170 rem 3
  39. 213 rem 20
  40. 545 rem 59

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