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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 50 · 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. 1.51062 ÷ 89 =
  2. 2.45727 ÷ 89 =
  3. 3.60922 ÷ 88 =
  4. 4.13214 ÷ 96 =
  5. 5.16698 ÷ 88 =
  6. 6.21720 ÷ 988 =
  7. 7.753959 ÷ 897 =
  8. 8.61579 ÷ 89 =
  9. 9.89844 ÷ 98 =
  10. 10.3946 ÷ 8 =
  11. 11.26726 ÷ 96 =
  12. 12.895363 ÷ 988 =
  13. 13.541164 ÷ 998 =
  14. 14.6238 ÷ 96 =
  15. 15.8276 ÷ 8 =
  16. 16.874661 ÷ 997 =
  17. 17.207421 ÷ 897 =
  18. 18.34696 ÷ 97 =
  19. 19.397291 ÷ 997 =
  20. 20.1434 ÷ 8 =
  21. 21.99955 ÷ 96 =
  22. 22.17244 ÷ 89 =
  23. 23.186857 ÷ 989 =
  24. 24.298801 ÷ 989 =
  25. 25.7740 ÷ 8 =
  26. 26.98261 ÷ 88 =
  27. 27.61832 ÷ 98 =
  28. 28.294867 ÷ 997 =
  29. 29.3886 ÷ 89 =
  30. 30.948402 ÷ 988 =
  31. 31.3219 ÷ 8 =
  32. 32.25194 ÷ 88 =
  33. 33.63421 ÷ 98 =
  34. 34.755891 ÷ 998 =
  35. 35.366420 ÷ 997 =
  36. 36.83772 ÷ 89 =
  37. 37.648609 ÷ 997 =
  38. 38.740312 ÷ 988 =
  39. 39.823852 ÷ 997 =
  40. 40.44209 ÷ 98 =

Answer key

  1. 573 rem 65
  2. 513 rem 70
  3. 692 rem 26
  4. 137 rem 62
  5. 189 rem 66
  6. 21 rem 972
  7. 840 rem 479
  8. 691 rem 80
  9. 916 rem 76
  10. 493 rem 2
  11. 278 rem 38
  12. 906 rem 235
  13. 542 rem 248
  14. 64 rem 94
  15. 1034 rem 4
  16. 877 rem 292
  17. 231 rem 214
  18. 357 rem 67
  19. 398 rem 485
  20. 179 rem 2
  21. 1041 rem 19
  22. 193 rem 67
  23. 188 rem 925
  24. 302 rem 123
  25. 967 rem 4
  26. 1116 rem 53
  27. 630 rem 92
  28. 295 rem 752
  29. 43 rem 59
  30. 959 rem 910
  31. 402 rem 3
  32. 286 rem 26
  33. 647 rem 15
  34. 757 rem 405
  35. 367 rem 521
  36. 941 rem 23
  37. 650 rem 559
  38. 749 rem 300
  39. 826 rem 330
  40. 451 rem 11

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